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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 501 · 40 questions
TalentJR

The method (Same years for everyone): “k times as old”: the younger is 1 part, the older is k parts. n years ago or later: change every age by n before using the clue. Sum and difference: younger = (sum − difference) ÷ 2. For “in a years … b years ago”, let the age be x and solve.

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  1. 1.Rahul’s father is four times as old as Rahul. The sum of their ages is 25 years. How old is the father?
  2. 2.Manav’s father is five times as old as Manav. The sum of their ages is 30 years. How old is Manav?
  3. 3.Farhan’s father is five times as old as Farhan. The sum of their ages is 84 years. How old is Farhan?
  4. 4.In 12 years, Rahul will be three times as old as Rahul was 6 years ago. How old is Rahul now?
  5. 5.Ananya’s father is four times as old as Ananya. The sum of their ages is 30 years. How old is Ananya?
  6. 6.Manav is 2 years older than Zoya. In 3 years, the sum of their ages will be 20. How old is Zoya now?
  7. 7.Manav’s father is twice as old as Manav. The sum of their ages is 21 years. How old is the father?
  8. 8.Aditya is 9 years older than Aarav. In 9 years, the sum of their ages will be 65. How old is Aarav now?
  9. 9.Karan is 9 years older than Pooja. In 3 years, the sum of their ages will be 57. How old is Pooja now?
  10. 10.Nisha’s father is four times as old as Nisha. The sum of their ages is 65 years. How old is the father?
  11. 11.Sneha’s father is three times as old as Sneha. The sum of their ages is 32 years. How old is the father?
  12. 12.4 years ago, Rahul’s mother was twice as old as Rahul. The mother is 24 years old now. How old is Rahul now?
  13. 13.Saanvi’s father is twice as old as Saanvi. The sum of their ages is 30 years. How old is the father?
  14. 14.Zoya is 3 years older than Dev. In 5 years, the sum of their ages will be 37. How old is Dev now?
  15. 15.Diya is 6 years older than Zoya. In 10 years, the sum of their ages will be 54. How old is Zoya now?
  16. 16.Ishaan’s father is twice as old as Ishaan. The sum of their ages is 36 years. How old is the father?
  17. 17.Arjun’s father is twice as old as Arjun. The sum of their ages is 33 years. How old is Arjun?
  18. 18.3 years ago, Ananya’s mother was twice as old as Ananya. The mother is 9 years old now. How old is Ananya now?
  19. 19.2 years ago, Saanvi’s mother was twice as old as Saanvi. The mother is 14 years old now. How old is Saanvi now?
  20. 20.In 16 years, Manav will be twice as old as Manav was 5 years ago. How old is Manav now?
  21. 21.Rohan’s father is twice as old as Rohan. The sum of their ages is 18 years. How old is Rohan?
  22. 22.Pooja’s father is four times as old as Pooja. The sum of their ages is 30 years. How old is the father?
  23. 23.2 years ago, Rohan’s mother was twice as old as Rohan. The mother is 18 years old now. How old is Rohan now?
  24. 24.In 17 years, Dev will be twice as old as Dev was 4 years ago. How old is Dev now?
  25. 25.Vivaan’s father is twice as old as Vivaan. The sum of their ages is 39 years. How old is Vivaan?
  26. 26.In 11 years, Diya will be twice as old as Diya was 6 years ago. How old is Diya now?
  27. 27.In 9 years, Aarav will be twice as old as Aarav was 4 years ago. How old is Aarav now?
  28. 28.Aditya is 5 years older than Pooja. In 5 years, the sum of their ages will be 41. How old is Pooja now?
  29. 29.Isha’s father is twice as old as Isha. The sum of their ages is 27 years. How old is the father?
  30. 30.9 years ago, Arjun’s mother was four times as old as Arjun. The mother is 53 years old now. How old is Arjun now?
  31. 31.Ishaan’s father is five times as old as Ishaan. The sum of their ages is 78 years. How old is Ishaan?
  32. 32.Arjun is 2 years older than Zoya. In 7 years, the sum of their ages will be 58. How old is Zoya now?
  33. 33.Diya is 3 years older than Dev. In 9 years, the sum of their ages will be 63. How old is Dev now?
  34. 34.Farhan is 3 years older than Ananya. In 3 years, the sum of their ages will be 49. How old is Ananya now?
  35. 35.In 23 years, Kabir will be three times as old as Kabir was 3 years ago. How old is Kabir now?
  36. 36.In 28 years, Nisha will be twice as old as Nisha was 3 years ago. How old is Nisha now?
  37. 37.Aarav’s father is twice as old as Aarav. The sum of their ages is 18 years. How old is Aarav?
  38. 38.Farhan is 6 years older than Dev. In 2 years, the sum of their ages will be 36. How old is Dev now?
  39. 39.2 years ago, Arjun’s mother was three times as old as Arjun. The mother is 29 years old now. How old is Arjun now?
  40. 40.Tara is 4 years older than Zoya. In 9 years, the sum of their ages will be 44. How old is Zoya now?

Answer key

  1. 20
  2. 5
  3. 14
  4. 15
  5. 6
  6. 6
  7. 14
  8. 19
  9. 21
  10. 52
  11. 24
  12. 14
  13. 20
  14. 12
  15. 14
  16. 24
  17. 11
  18. 6
  19. 8
  20. 26
  21. 6
  22. 24
  23. 10
  24. 25
  25. 13
  26. 23
  27. 17
  28. 13
  29. 18
  30. 20
  31. 13
  32. 21
  33. 21
  34. 20
  35. 16
  36. 34
  37. 6
  38. 13
  39. 11
  40. 11

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