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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 243 · 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. 1.5 years ago, Ishaan’s mother was twice as old as Ishaan. The mother is 13 years old now. How old is Ishaan now?
  2. 2.Tara’s father is five times as old as Tara. The sum of their ages is 66 years. How old is Tara?
  3. 3.In 12 years, Arjun will be three times as old as Arjun was 2 years ago. How old is Arjun now?
  4. 4.Aarav’s father is four times as old as Aarav. The sum of their ages is 40 years. How old is the father?
  5. 5.In 13 years, Farhan will be twice as old as Farhan was 5 years ago. How old is Farhan now?
  6. 6.Kavya’s father is four times as old as Kavya. The sum of their ages is 55 years. How old is the father?
  7. 7.Sneha is 8 years older than Tara. In 9 years, the sum of their ages will be 82. How old is Tara now?
  8. 8.Saanvi is 2 years older than Sneha. In 2 years, the sum of their ages will be 38. How old is Sneha now?
  9. 9.Kavya is 10 years older than Kabir. In 10 years, the sum of their ages will be 48. How old is Kabir now?
  10. 10.2 years ago, Dev’s mother was twice as old as Dev. The mother is 20 years old now. How old is Dev now?
  11. 11.9 years ago, Aarav’s mother was four times as old as Aarav. The mother is 21 years old now. How old is Aarav now?
  12. 12.Rahul’s father is five times as old as Rahul. The sum of their ages is 84 years. How old is the father?
  13. 13.Kabir is 2 years older than Rahul. In 3 years, the sum of their ages will be 40. How old is Rahul now?
  14. 14.Farhan’s father is three times as old as Farhan. The sum of their ages is 20 years. How old is the father?
  15. 15.In 10 years, Ananya will be twice as old as Ananya was 3 years ago. How old is Ananya now?
  16. 16.Rohan’s father is five times as old as Rohan. The sum of their ages is 60 years. How old is the father?
  17. 17.Saanvi is 10 years older than Aditya. In 3 years, the sum of their ages will be 50. How old is Aditya now?
  18. 18.Karan is 4 years older than Diya. In 8 years, the sum of their ages will be 42. How old is Diya now?
  19. 19.In 19 years, Kabir will be twice as old as Kabir was 6 years ago. How old is Kabir now?
  20. 20.Kabir is 7 years older than Diya. In 10 years, the sum of their ages will be 73. How old is Diya now?
  21. 21.Aarav’s father is twice as old as Aarav. The sum of their ages is 18 years. How old is Aarav?
  22. 22.Kabir’s father is twice as old as Kabir. The sum of their ages is 21 years. How old is the father?
  23. 23.In 22 years, Rohan will be twice as old as Rohan was 2 years ago. How old is Rohan now?
  24. 24.In 7 years, Tara will be twice as old as Tara was 2 years ago. How old is Tara now?
  25. 25.In 30 years, Ananya will be twice as old as Ananya was 3 years ago. How old is Ananya now?
  26. 26.Aditya is 8 years older than Aarav. In 7 years, the sum of their ages will be 64. How old is Aarav now?
  27. 27.Aditya is 6 years older than Aarav. In 8 years, the sum of their ages will be 44. How old is Aarav now?
  28. 28.In 23 years, Tara will be twice as old as Tara was 5 years ago. How old is Tara now?
  29. 29.8 years ago, Saanvi’s mother was three times as old as Saanvi. The mother is 23 years old now. How old is Saanvi now?
  30. 30.Ananya’s father is twice as old as Ananya. The sum of their ages is 24 years. How old is Ananya?
  31. 31.Isha is 4 years older than Ananya. In 8 years, the sum of their ages will be 78. How old is Ananya now?
  32. 32.3 years ago, Meera’s mother was three times as old as Meera. The mother is 39 years old now. How old is Meera now?
  33. 33.5 years ago, Ishaan’s mother was twice as old as Ishaan. The mother is 17 years old now. How old is Ishaan now?
  34. 34.Farhan’s father is four times as old as Farhan. The sum of their ages is 25 years. How old is Farhan?
  35. 35.In 15 years, Dev will be twice as old as Dev was 4 years ago. How old is Dev now?
  36. 36.Ananya’s father is four times as old as Ananya. The sum of their ages is 30 years. How old is Ananya?
  37. 37.In 14 years, Rahul will be twice as old as Rahul was 4 years ago. How old is Rahul now?
  38. 38.Vivaan’s father is four times as old as Vivaan. The sum of their ages is 30 years. How old is the father?
  39. 39.Arjun is 7 years older than Nisha. In 6 years, the sum of their ages will be 69. How old is Nisha now?
  40. 40.In 16 years, Priya will be three times as old as Priya was 4 years ago. How old is Priya now?

Answer key

  1. 9
  2. 11
  3. 9
  4. 32
  5. 23
  6. 44
  7. 28
  8. 16
  9. 9
  10. 11
  11. 12
  12. 70
  13. 16
  14. 15
  15. 16
  16. 50
  17. 17
  18. 11
  19. 31
  20. 23
  21. 6
  22. 14
  23. 26
  24. 11
  25. 36
  26. 21
  27. 11
  28. 33
  29. 13
  30. 8
  31. 29
  32. 15
  33. 11
  34. 5
  35. 23
  36. 6
  37. 22
  38. 24
  39. 25
  40. 14

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