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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 230 · 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.

NameDateTime takenScore ___ / 40
  1. 1.6 years ago, Tara’s mother was twice as old as Tara. The mother is 28 years old now. How old is Tara now?
  2. 2.8 years ago, Pooja’s mother was three times as old as Pooja. The mother is 20 years old now. How old is Pooja now?
  3. 3.Zoya is 4 years older than Isha. In 7 years, the sum of their ages will be 42. How old is Isha now?
  4. 4.Rohan is 6 years older than Saanvi. In 9 years, the sum of their ages will be 84. How old is Saanvi now?
  5. 5.Vivaan’s father is five times as old as Vivaan. The sum of their ages is 72 years. How old is the father?
  6. 6.Farhan is 9 years older than Meera. In 6 years, the sum of their ages will be 61. How old is Meera now?
  7. 7.Diya’s father is five times as old as Diya. The sum of their ages is 90 years. How old is Diya?
  8. 8.Tara’s father is four times as old as Tara. The sum of their ages is 30 years. How old is Tara?
  9. 9.Rahul is 4 years older than Tara. In 9 years, the sum of their ages will be 82. How old is Tara now?
  10. 10.In 21 years, Ishaan will be twice as old as Ishaan was 6 years ago. How old is Ishaan now?
  11. 11.In 29 years, Ishaan will be three times as old as Ishaan was 5 years ago. How old is Ishaan now?
  12. 12.Vivaan is 5 years older than Kabir. In 10 years, the sum of their ages will be 79. How old is Kabir now?
  13. 13.Rohan’s father is twice as old as Rohan. The sum of their ages is 36 years. How old is Rohan?
  14. 14.Vivaan’s father is twice as old as Vivaan. The sum of their ages is 42 years. How old is the father?
  15. 15.9 years ago, Vivaan’s mother was twice as old as Vivaan. The mother is 21 years old now. How old is Vivaan now?
  16. 16.10 years ago, Aarav’s mother was twice as old as Aarav. The mother is 20 years old now. How old is Aarav now?
  17. 17.8 years ago, Arjun’s mother was twice as old as Arjun. The mother is 28 years old now. How old is Arjun now?
  18. 18.In 4 years, Diya will be twice as old as Diya was 4 years ago. How old is Diya now?
  19. 19.In 13 years, Vivaan will be three times as old as Vivaan was 5 years ago. How old is Vivaan now?
  20. 20.Pooja is 3 years older than Diya. In 7 years, the sum of their ages will be 61. How old is Diya now?
  21. 21.In 27 years, Zoya will be twice as old as Zoya was 5 years ago. How old is Zoya now?
  22. 22.Farhan’s father is three times as old as Farhan. The sum of their ages is 60 years. How old is the father?
  23. 23.4 years ago, Tara’s mother was three times as old as Tara. The mother is 40 years old now. How old is Tara now?
  24. 24.7 years ago, Isha’s mother was twice as old as Isha. The mother is 23 years old now. How old is Isha now?
  25. 25.In 22 years, Rahul will be twice as old as Rahul was 6 years ago. How old is Rahul now?
  26. 26.9 years ago, Ishaan’s mother was four times as old as Ishaan. The mother is 57 years old now. How old is Ishaan now?
  27. 27.In 2 years, Sneha will be twice as old as Sneha was 3 years ago. How old is Sneha now?
  28. 28.Ishaan’s father is twice as old as Ishaan. The sum of their ages is 27 years. How old is the father?
  29. 29.Arjun is 8 years older than Isha. In 2 years, the sum of their ages will be 42. How old is Isha now?
  30. 30.Aditya is 5 years older than Rohan. In 9 years, the sum of their ages will be 33. How old is Rohan now?
  31. 31.Vivaan is 8 years older than Aditya. In 10 years, the sum of their ages will be 56. How old is Aditya now?
  32. 32.Sneha is 9 years older than Diya. In 6 years, the sum of their ages will be 43. How old is Diya now?
  33. 33.Aditya’s father is three times as old as Aditya. The sum of their ages is 40 years. How old is Aditya?
  34. 34.Zoya’s father is three times as old as Zoya. The sum of their ages is 60 years. How old is the father?
  35. 35.Nisha is 9 years older than Tara. In 2 years, the sum of their ages will be 69. How old is Tara now?
  36. 36.Ishaan is 10 years older than Manav. In 6 years, the sum of their ages will be 62. How old is Manav now?
  37. 37.Kavya’s father is three times as old as Kavya. The sum of their ages is 48 years. How old is the father?
  38. 38.Manav’s father is four times as old as Manav. The sum of their ages is 25 years. How old is the father?
  39. 39.In 17 years, Ishaan will be twice as old as Ishaan was 4 years ago. How old is Ishaan now?
  40. 40.Zoya is 5 years older than Dev. In 6 years, the sum of their ages will be 29. How old is Dev now?

Answer key

  1. 17
  2. 12
  3. 12
  4. 30
  5. 60
  6. 20
  7. 15
  8. 6
  9. 30
  10. 33
  11. 22
  12. 27
  13. 12
  14. 28
  15. 15
  16. 15
  17. 18
  18. 12
  19. 14
  20. 22
  21. 37
  22. 45
  23. 16
  24. 15
  25. 34
  26. 21
  27. 8
  28. 18
  29. 15
  30. 5
  31. 14
  32. 11
  33. 10
  34. 45
  35. 28
  36. 20
  37. 36
  38. 20
  39. 25
  40. 6

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