Problems on Ages questions

Present and future ages, age ratios.

1. The present ages of Zoya and Kiran are in the ratio 2:3, and their total is 40 years. What will Zoya's age be after 6 years?

  1. 20 years
  2. 26 years
  3. 28 years
  4. 22 years
Answer

D. 22 years Zoya = 2/5 × 40 = 16. After 6 years: 22.

2. Vikram's father is 3 times as old as Vikram. 7 years ago, the sum of their ages was 10. How old is Vikram now?

  1. 8 years
  2. 4 years
  3. 7 years
  4. 6 years
Answer

D. 6 years Let Vikram = x, father = 3x. (4x − 14) = 10, so x = 6.

3. A mother was 21 years old when her daughter was born. If the daughter is 14 years old now, how old will the mother be in 6 years?

  1. 41 years
  2. 42 years
  3. 31 years
  4. 39 years
Answer

A. 41 years Mother now = 21 + 14 = 35. In 6 years: 41.

4. Rohit's father is 2 times as old as Rohit. 10 years ago, the sum of their ages was -2. How old is Rohit now?

  1. 7 years
  2. 5 years
  3. 8 years
  4. 6 years
Answer

D. 6 years Let Rohit = x, father = 2x. (3x − 20) = -2, so x = 6.

5. The present ages of Zoya and Ayesha are in the ratio 5:3, and their total is 48 years. What will Zoya's age be after 5 years?

  1. 26 years
  2. 44 years
  3. 37 years
  4. 35 years
Answer

D. 35 years Zoya = 5/8 × 48 = 30. After 5 years: 35.

6. Zoya's father is 4 times as old as Zoya. 2 years ago, the sum of their ages was 81. How old is Zoya now?

  1. 14 years
  2. 20 years
  3. 15 years
  4. 17 years
Answer

D. 17 years Let Zoya = x, father = 4x. (5x − 4) = 81, so x = 17.

7. A mother was 24 years old when her daughter was born. If the daughter is 5 years old now, how old will the mother be in 9 years?

  1. 29 years
  2. 46 years
  3. 48 years
  4. 38 years
Answer

D. 38 years Mother now = 24 + 5 = 29. In 9 years: 38.

8. Zoya's father is 2 times as old as Zoya. 10 years ago, the sum of their ages was -2. How old is Zoya now?

  1. 4 years
  2. 5 years
  3. 8 years
  4. 6 years
Answer

D. 6 years Let Zoya = x, father = 2x. (3x − 20) = -2, so x = 6.

9. The present ages of Fatima and Priya are in the ratio 4:2, and their total is 18 years. What will Fatima's age be after 3 years?

  1. 12 years
  2. 18 years
  3. 13 years
  4. 15 years
Answer

D. 15 years Fatima = 4/6 × 18 = 12. After 3 years: 15.

10. Rohit's father is 2 times as old as Rohit. 2 years ago, the sum of their ages was 44. How old is Rohit now?

  1. 18 years
  2. 16 years
  3. 14 years
  4. 12 years
Answer

B. 16 years Let Rohit = x, father = 2x. (3x − 4) = 44, so x = 16.

11. A mother was 33 years old when her daughter was born. If the daughter is 4 years old now, how old will the mother be in 5 years?

  1. 38 years
  2. 42 years
  3. 32 years
  4. 53 years
Answer

B. 42 years Mother now = 33 + 4 = 37. In 5 years: 42.

12. The present ages of Divya and Rahul are in the ratio 3:4, and their total is 56 years. What will Divya's age be after 5 years?

  1. 27 years
  2. 30 years
  3. 22 years
  4. 29 years
Answer

D. 29 years Divya = 3/7 × 56 = 24. After 5 years: 29.

13. Rohit's father is 3 times as old as Rohit. 6 years ago, the sum of their ages was 36. How old is Rohit now?

  1. 9 years
  2. 12 years
  3. 10 years
  4. 11 years
Answer

B. 12 years Let Rohit = x, father = 3x. (4x − 12) = 36, so x = 12.

14. A mother was 33 years old when her daughter was born. If the daughter is 7 years old now, how old will the mother be in 5 years?

  1. 45 years
  2. 44 years
  3. 56 years
  4. 41 years
Answer

A. 45 years Mother now = 33 + 7 = 40. In 5 years: 45.

15. The present ages of Meera and Nikhil are in the ratio 5:3, and their total is 24 years. What will Meera's age be after 10 years?

  1. 27 years
  2. 30 years
  3. 31 years
  4. 25 years
Answer

D. 25 years Meera = 5/8 × 24 = 15. After 10 years: 25.

16. Imran's father is 4 times as old as Imran. 2 years ago, the sum of their ages was 61. How old is Imran now?

  1. 12 years
  2. 13 years
  3. 15 years
  4. 10 years
Answer

B. 13 years Let Imran = x, father = 4x. (5x − 4) = 61, so x = 13.

17. A mother was 31 years old when her daughter was born. If the daughter is 11 years old now, how old will the mother be in 2 years?

  1. 33 years
  2. 45 years
  3. 46 years
  4. 44 years
Answer

D. 44 years Mother now = 31 + 11 = 42. In 2 years: 44.

18. The present ages of Arjun and Farhan are in the ratio 5:4, and their total is 36 years. What will Arjun's age be after 5 years?

  1. 30 years
  2. 25 years
  3. 31 years
  4. 23 years
Answer

B. 25 years Arjun = 5/9 × 36 = 20. After 5 years: 25.

19. Nikhil's father is 3 times as old as Nikhil. 6 years ago, the sum of their ages was 44. How old is Nikhil now?

  1. 13 years
  2. 14 years
  3. 16 years
  4. 11 years
Answer

B. 14 years Let Nikhil = x, father = 3x. (4x − 12) = 44, so x = 14.

20. A mother was 27 years old when her daughter was born. If the daughter is 15 years old now, how old will the mother be in 2 years?

  1. 33 years
  2. 46 years
  3. 40 years
  4. 44 years
Answer

D. 44 years Mother now = 27 + 15 = 42. In 2 years: 44.

21. The present ages of Vikram and Arjun are in the ratio 3:2, and their total is 40 years. What will Vikram's age be after 3 years?

  1. 27 years
  2. 29 years
  3. 30 years
  4. 28 years
Answer

A. 27 years Vikram = 3/5 × 40 = 24. After 3 years: 27.

22. Imran's father is 4 times as old as Imran. 3 years ago, the sum of their ages was 69. How old is Imran now?

  1. 13 years
  2. 18 years
  3. 15 years
  4. 11 years
Answer

C. 15 years Let Imran = x, father = 4x. (5x − 6) = 69, so x = 15.

23. A mother was 32 years old when her daughter was born. If the daughter is 11 years old now, how old will the mother be in 6 years?

  1. 47 years
  2. 44 years
  3. 50 years
  4. 49 years
Answer

D. 49 years Mother now = 32 + 11 = 43. In 6 years: 49.

24. The present ages of Divya and Ayesha are in the ratio 4:3, and their total is 56 years. What will Divya's age be after 8 years?

  1. 30 years
  2. 40 years
  3. 36 years
  4. 32 years
Answer

B. 40 years Divya = 4/7 × 56 = 32. After 8 years: 40.

25. Nikhil's father is 3 times as old as Nikhil. 6 years ago, the sum of their ages was 8. How old is Nikhil now?

  1. 6 years
  2. 4 years
  3. 5 years
  4. 7 years
Answer

C. 5 years Let Nikhil = x, father = 3x. (4x − 12) = 8, so x = 5.

26. A mother was 24 years old when her daughter was born. If the daughter is 14 years old now, how old will the mother be in 4 years?

  1. 38 years
  2. 34 years
  3. 43 years
  4. 42 years
Answer

D. 42 years Mother now = 24 + 14 = 38. In 4 years: 42.

27. The present ages of Farhan and Imran are in the ratio 5:3, and their total is 32 years. What will Farhan's age be after 9 years?

  1. 32 years
  2. 22 years
  3. 26 years
  4. 29 years
Answer

D. 29 years Farhan = 5/8 × 32 = 20. After 9 years: 29.

28. Zoya's father is 4 times as old as Zoya. 6 years ago, the sum of their ages was 43. How old is Zoya now?

  1. 10 years
  2. 8 years
  3. 9 years
  4. 11 years
Answer

D. 11 years Let Zoya = x, father = 4x. (5x − 12) = 43, so x = 11.

29. A mother was 20 years old when her daughter was born. If the daughter is 10 years old now, how old will the mother be in 10 years?

  1. 30 years
  2. 39 years
  3. 36 years
  4. 40 years
Answer

D. 40 years Mother now = 20 + 10 = 30. In 10 years: 40.

30. The present ages of Priya and Nikhil are in the ratio 2:4, and their total is 48 years. What will Priya's age be after 10 years?

  1. 21 years
  2. 26 years
  3. 25 years
  4. 28 years
Answer

B. 26 years Priya = 2/6 × 48 = 16. After 10 years: 26.

31. Farhan's father is 2 times as old as Farhan. 6 years ago, the sum of their ages was 27. How old is Farhan now?

  1. 12 years
  2. 15 years
  3. 11 years
  4. 13 years
Answer

D. 13 years Let Farhan = x, father = 2x. (3x − 12) = 27, so x = 13.

32. A mother was 35 years old when her daughter was born. If the daughter is 5 years old now, how old will the mother be in 3 years?

  1. 54 years
  2. 44 years
  3. 41 years
  4. 43 years
Answer

D. 43 years Mother now = 35 + 5 = 40. In 3 years: 43.

33. The present ages of Priya and Fatima are in the ratio 3:4, and their total is 56 years. What will Priya's age be after 5 years?

  1. 32 years
  2. 30 years
  3. 22 years
  4. 29 years
Answer

D. 29 years Priya = 3/7 × 56 = 24. After 5 years: 29.

34. Divya's father is 2 times as old as Divya. 8 years ago, the sum of their ages was 14. How old is Divya now?

  1. 8 years
  2. 10 years
  3. 13 years
  4. 9 years
Answer

B. 10 years Let Divya = x, father = 2x. (3x − 16) = 14, so x = 10.

35. A mother was 31 years old when her daughter was born. If the daughter is 4 years old now, how old will the mother be in 4 years?

  1. 39 years
  2. 43 years
  3. 47 years
  4. 41 years
Answer

A. 39 years Mother now = 31 + 4 = 35. In 4 years: 39.

36. The present ages of Meera and Kiran are in the ratio 5:2, and their total is 56 years. What will Meera's age be after 6 years?

  1. 47 years
  2. 35 years
  3. 46 years
  4. 51 years
Answer

C. 46 years Meera = 5/7 × 56 = 40. After 6 years: 46.

37. Priya's father is 2 times as old as Priya. 2 years ago, the sum of their ages was 53. How old is Priya now?

  1. 17 years
  2. 20 years
  3. 19 years
  4. 18 years
Answer

C. 19 years Let Priya = x, father = 2x. (3x − 4) = 53, so x = 19.

38. A mother was 21 years old when her daughter was born. If the daughter is 11 years old now, how old will the mother be in 2 years?

  1. 32 years
  2. 37 years
  3. 34 years
  4. 36 years
Answer

C. 34 years Mother now = 21 + 11 = 32. In 2 years: 34.

39. The present ages of Nikhil and Ayesha are in the ratio 3:5, and their total is 56 years. What will Nikhil's age be after 7 years?

  1. 28 years
  2. 30 years
  3. 21 years
  4. 29 years
Answer

A. 28 years Nikhil = 3/8 × 56 = 21. After 7 years: 28.

40. Arjun's father is 3 times as old as Arjun. 9 years ago, the sum of their ages was 46. How old is Arjun now?

  1. 19 years
  2. 20 years
  3. 16 years
  4. 18 years
Answer

C. 16 years Let Arjun = x, father = 3x. (4x − 18) = 46, so x = 16.

41. A mother was 33 years old when her daughter was born. If the daughter is 10 years old now, how old will the mother be in 4 years?

  1. 45 years
  2. 47 years
  3. 38 years
  4. 35 years
Answer

B. 47 years Mother now = 33 + 10 = 43. In 4 years: 47.

42. The present ages of Nikhil and Meera are in the ratio 4:3, and their total is 56 years. What will Nikhil's age be after 4 years?

  1. 27 years
  2. 36 years
  3. 37 years
  4. 43 years
Answer

B. 36 years Nikhil = 4/7 × 56 = 32. After 4 years: 36.

43. Rahul's father is 3 times as old as Rahul. 7 years ago, the sum of their ages was 54. How old is Rahul now?

  1. 17 years
  2. 13 years
  3. 20 years
  4. 19 years
Answer

A. 17 years Let Rahul = x, father = 3x. (4x − 14) = 54, so x = 17.

44. A mother was 26 years old when her daughter was born. If the daughter is 15 years old now, how old will the mother be in 3 years?

  1. 43 years
  2. 42 years
  3. 55 years
  4. 44 years
Answer

D. 44 years Mother now = 26 + 15 = 41. In 3 years: 44.

45. The present ages of Arjun and Rohit are in the ratio 3:5, and their total is 48 years. What will Arjun's age be after 6 years?

  1. 29 years
  2. 23 years
  3. 26 years
  4. 24 years
Answer

D. 24 years Arjun = 3/8 × 48 = 18. After 6 years: 24.

46. Farhan's father is 3 times as old as Farhan. 2 years ago, the sum of their ages was 20. How old is Farhan now?

  1. 5 years
  2. 8 years
  3. 4 years
  4. 6 years
Answer

D. 6 years Let Farhan = x, father = 3x. (4x − 4) = 20, so x = 6.

47. A mother was 30 years old when her daughter was born. If the daughter is 9 years old now, how old will the mother be in 4 years?

  1. 54 years
  2. 32 years
  3. 41 years
  4. 43 years
Answer

D. 43 years Mother now = 30 + 9 = 39. In 4 years: 43.

48. The present ages of Ravi and Kiran are in the ratio 2:5, and their total is 49 years. What will Ravi's age be after 4 years?

  1. 18 years
  2. 19 years
  3. 23 years
  4. 22 years
Answer

A. 18 years Ravi = 2/7 × 49 = 14. After 4 years: 18.

49. Nikhil's father is 3 times as old as Nikhil. 3 years ago, the sum of their ages was 42. How old is Nikhil now?

  1. 15 years
  2. 12 years
  3. 10 years
  4. 14 years
Answer

B. 12 years Let Nikhil = x, father = 3x. (4x − 6) = 42, so x = 12.

50. A mother was 35 years old when her daughter was born. If the daughter is 7 years old now, how old will the mother be in 2 years?

  1. 55 years
  2. 48 years
  3. 43 years
  4. 44 years
Answer

D. 44 years Mother now = 35 + 7 = 42. In 2 years: 44.

51. Anita is 33 years old. Her brother is 18 years younger. What will her brother’s age be after 6 years?

  1. 21
  2. 14
  3. 19
  4. 23
Answer

A. 21 Brother now = 33−18; after 6 years = 21.

52. Anita is 71 years old. Her brother is 10 years younger. What will her brother’s age be after 14 years?

  1. 75
  2. 80
  3. 72
  4. 70
Answer

A. 75 Brother now = 71−10; after 14 years = 75.

53. Anita is 87 years old. Her brother is 15 years younger. What will her brother’s age be after 5 years?

  1. 77
  2. 67
  3. 76
  4. 70
Answer

A. 77 Brother now = 87−15; after 5 years = 77.

54. Anita is 53 years old. Her brother is 8 years younger. What will her brother’s age be after 15 years?

  1. 57
  2. 60
  3. 55
  4. 50
Answer

B. 60 Brother now = 53−8; after 15 years = 60.

55. Anita is 31 years old. Her brother is 18 years younger. What will her brother’s age be after 2 years?

  1. 20
  2. 15
  3. 13
  4. 16
Answer

B. 15 Brother now = 31−18; after 2 years = 15.

56. Anita is 74 years old. Her brother is 19 years younger. What will her brother’s age be after 12 years?

  1. 67
  2. 70
  3. 66
  4. 60
Answer

A. 67 Brother now = 74−19; after 12 years = 67.

57. Anita is 24 years old. Her brother is 18 years younger. What will her brother’s age be after 13 years?

  1. 21
  2. 19
  3. 12
  4. 16
Answer

B. 19 Brother now = 24−18; after 13 years = 19.

58. Anita is 41 years old. Her brother is 14 years younger. What will her brother’s age be after 11 years?

  1. 39
  2. 36
  3. 38
  4. 45
Answer

C. 38 Brother now = 41−14; after 11 years = 38.

59. Anita is 19 years old. Her brother is 13 years younger. What will her brother’s age be after 5 years?

  1. 16
  2. 14
  3. 11
  4. 9
Answer

C. 11 Brother now = 19−13; after 5 years = 11.

60. Anita is 97 years old. Her brother is 8 years younger. What will her brother’s age be after 11 years?

  1. 107
  2. 100
  3. 105
  4. 97
Answer

B. 100 Brother now = 97−8; after 11 years = 100.

61. Anita is 83 years old. Her brother is 12 years younger. What will her brother’s age be after 4 years?

  1. 75
  2. 82
  3. 74
  4. 70
Answer

A. 75 Brother now = 83−12; after 4 years = 75.

62. Anita is 44 years old. Her brother is 9 years younger. What will her brother’s age be after 7 years?

  1. 42
  2. 45
  3. 32
  4. 44
Answer

A. 42 Brother now = 44−9; after 7 years = 42.

63. A person is 50 years old today. What will their age be after 16 years?

  1. 66
  2. 36
  3. 63
  4. 166
Answer

A. 66 Future age = 50 + 16 = 66.

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