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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 165 · 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.Aditya’s father is twice as old as Aditya. The sum of their ages is 15 years. How old is Aditya?
  2. 2.Saanvi is 8 years older than Ananya. In 10 years, the sum of their ages will be 54. How old is Ananya now?
  3. 3.In 23 years, Ishaan will be twice as old as Ishaan was 4 years ago. How old is Ishaan now?
  4. 4.In 5 years, Farhan will be twice as old as Farhan was 5 years ago. How old is Farhan now?
  5. 5.3 years ago, Karan’s mother was three times as old as Karan. The mother is 36 years old now. How old is Karan now?
  6. 6.Pooja’s father is four times as old as Pooja. The sum of their ages is 65 years. How old is Pooja?
  7. 7.Arjun’s father is three times as old as Arjun. The sum of their ages is 36 years. How old is the father?
  8. 8.3 years ago, Pooja’s mother was twice as old as Pooja. The mother is 19 years old now. How old is Pooja now?
  9. 9.Tara is 4 years older than Ishaan. In 9 years, the sum of their ages will be 70. How old is Ishaan now?
  10. 10.In 3 years, Rahul will be twice as old as Rahul was 6 years ago. How old is Rahul now?
  11. 11.5 years ago, Aarav’s mother was twice as old as Aarav. The mother is 13 years old now. How old is Aarav now?
  12. 12.In 20 years, Zoya will be twice as old as Zoya was 3 years ago. How old is Zoya now?
  13. 13.Zoya’s father is four times as old as Zoya. The sum of their ages is 25 years. How old is the father?
  14. 14.Nisha’s father is four times as old as Nisha. The sum of their ages is 75 years. How old is Nisha?
  15. 15.Nisha is 6 years older than Rahul. In 8 years, the sum of their ages will be 42. How old is Rahul now?
  16. 16.7 years ago, Aditya’s mother was three times as old as Aditya. The mother is 28 years old now. How old is Aditya now?
  17. 17.Rahul is 7 years older than Aditya. In 3 years, the sum of their ages will be 45. How old is Aditya now?
  18. 18.Kavya is 7 years older than Arjun. In 10 years, the sum of their ages will be 49. How old is Arjun now?
  19. 19.In 21 years, Diya will be twice as old as Diya was 4 years ago. How old is Diya now?
  20. 20.4 years ago, Aditya’s mother was four times as old as Aditya. The mother is 16 years old now. How old is Aditya now?
  21. 21.Sneha is 6 years older than Ishaan. In 10 years, the sum of their ages will be 48. How old is Ishaan now?
  22. 22.In 29 years, Karan will be twice as old as Karan was 4 years ago. How old is Karan now?
  23. 23.10 years ago, Kavya’s mother was four times as old as Kavya. The mother is 58 years old now. How old is Kavya now?
  24. 24.Meera’s father is three times as old as Meera. The sum of their ages is 28 years. How old is the father?
  25. 25.Pooja’s father is twice as old as Pooja. The sum of their ages is 36 years. How old is Pooja?
  26. 26.5 years ago, Diya’s mother was twice as old as Diya. The mother is 15 years old now. How old is Diya now?
  27. 27.In 3 years, Aditya will be twice as old as Aditya was 5 years ago. How old is Aditya now?
  28. 28.In 28 years, Ananya will be twice as old as Ananya was 3 years ago. How old is Ananya now?
  29. 29.6 years ago, Farhan’s mother was twice as old as Farhan. The mother is 26 years old now. How old is Farhan now?
  30. 30.In 24 years, Isha will be twice as old as Isha was 2 years ago. How old is Isha now?
  31. 31.10 years ago, Arjun’s mother was three times as old as Arjun. The mother is 40 years old now. How old is Arjun now?
  32. 32.Aditya’s father is five times as old as Aditya. The sum of their ages is 36 years. How old is the father?
  33. 33.Diya’s father is four times as old as Diya. The sum of their ages is 30 years. How old is the father?
  34. 34.Meera is 6 years older than Diya. In 4 years, the sum of their ages will be 52. How old is Diya now?
  35. 35.Saanvi’s father is three times as old as Saanvi. The sum of their ages is 40 years. How old is the father?
  36. 36.Manav is 3 years older than Ananya. In 2 years, the sum of their ages will be 49. How old is Ananya now?
  37. 37.In 30 years, Arjun will be twice as old as Arjun was 2 years ago. How old is Arjun now?
  38. 38.8 years ago, Ananya’s mother was twice as old as Ananya. The mother is 30 years old now. How old is Ananya now?
  39. 39.Tara’s father is four times as old as Tara. The sum of their ages is 35 years. How old is the father?
  40. 40.4 years ago, Meera’s mother was three times as old as Meera. The mother is 40 years old now. How old is Meera now?

Answer key

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

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