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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 931 · 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. 1.2 years ago, Ananya’s mother was three times as old as Ananya. The mother is 23 years old now. How old is Ananya now?
  2. 2.Ishaan is 4 years older than Diya. In 8 years, the sum of their ages will be 58. How old is Diya now?
  3. 3.7 years ago, Meera’s mother was twice as old as Meera. The mother is 17 years old now. How old is Meera now?
  4. 4.Meera’s father is five times as old as Meera. The sum of their ages is 78 years. How old is the father?
  5. 5.Rahul’s father is twice as old as Rahul. The sum of their ages is 24 years. How old is Rahul?
  6. 6.Manav is 4 years older than Rohan. In 5 years, the sum of their ages will be 48. How old is Rohan now?
  7. 7.Ananya’s father is four times as old as Ananya. The sum of their ages is 45 years. How old is the father?
  8. 8.5 years ago, Arjun’s mother was three times as old as Arjun. The mother is 32 years old now. How old is Arjun now?
  9. 9.Ananya’s father is twice as old as Ananya. The sum of their ages is 30 years. How old is Ananya?
  10. 10.Karan’s father is twice as old as Karan. The sum of their ages is 30 years. How old is the father?
  11. 11.Rohan’s father is four times as old as Rohan. The sum of their ages is 30 years. How old is Rohan?
  12. 12.Ishaan is 2 years older than Karan. In 3 years, the sum of their ages will be 46. How old is Karan now?
  13. 13.Karan’s father is twice as old as Karan. The sum of their ages is 15 years. How old is Karan?
  14. 14.In 14 years, Karan will be three times as old as Karan was 6 years ago. How old is Karan now?
  15. 15.In 20 years, Sneha will be three times as old as Sneha was 4 years ago. How old is Sneha now?
  16. 16.In 14 years, Aarav will be twice as old as Aarav was 3 years ago. How old is Aarav now?
  17. 17.In 18 years, Ananya will be twice as old as Ananya was 4 years ago. How old is Ananya now?
  18. 18.Ananya is 7 years older than Manav. In 9 years, the sum of their ages will be 77. How old is Manav now?
  19. 19.8 years ago, Nisha’s mother was twice as old as Nisha. The mother is 14 years old now. How old is Nisha now?
  20. 20.In 22 years, Manav will be twice as old as Manav was 3 years ago. How old is Manav now?
  21. 21.In 25 years, Nisha will be twice as old as Nisha was 5 years ago. How old is Nisha now?
  22. 22.Nisha’s father is four times as old as Nisha. The sum of their ages is 35 years. How old is the father?
  23. 23.6 years ago, Aditya’s mother was three times as old as Aditya. The mother is 24 years old now. How old is Aditya now?
  24. 24.Tara is 9 years older than Diya. In 2 years, the sum of their ages will be 29. How old is Diya now?
  25. 25.In 30 years, Zoya will be three times as old as Zoya was 6 years ago. How old is Zoya now?
  26. 26.2 years ago, Ananya’s mother was four times as old as Ananya. The mother is 22 years old now. How old is Ananya now?
  27. 27.Diya is 4 years older than Ishaan. In 3 years, the sum of their ages will be 44. How old is Ishaan now?
  28. 28.Arjun’s father is three times as old as Arjun. The sum of their ages is 40 years. How old is the father?
  29. 29.6 years ago, Rohan’s mother was four times as old as Rohan. The mother is 50 years old now. How old is Rohan now?
  30. 30.Ishaan is 10 years older than Meera. In 2 years, the sum of their ages will be 38. How old is Meera now?
  31. 31.Isha’s father is five times as old as Isha. The sum of their ages is 48 years. How old is the father?
  32. 32.Arjun’s father is twice as old as Arjun. The sum of their ages is 18 years. How old is Arjun?
  33. 33.10 years ago, Zoya’s mother was four times as old as Zoya. The mother is 30 years old now. How old is Zoya now?
  34. 34.In 8 years, Isha will be three times as old as Isha was 4 years ago. How old is Isha now?
  35. 35.7 years ago, Manav’s mother was twice as old as Manav. The mother is 15 years old now. How old is Manav now?
  36. 36.Kabir is 4 years older than Arjun. In 6 years, the sum of their ages will be 58. How old is Arjun now?
  37. 37.Karan is 7 years older than Meera. In 7 years, the sum of their ages will be 73. How old is Meera now?
  38. 38.In 25 years, Ishaan will be twice as old as Ishaan was 4 years ago. How old is Ishaan now?
  39. 39.Ishaan is 2 years older than Diya. In 10 years, the sum of their ages will be 68. How old is Diya now?
  40. 40.4 years ago, Ishaan’s mother was three times as old as Ishaan. The mother is 37 years old now. How old is Ishaan now?

Answer key

  1. 9
  2. 19
  3. 12
  4. 65
  5. 8
  6. 17
  7. 36
  8. 14
  9. 10
  10. 20
  11. 6
  12. 19
  13. 5
  14. 16
  15. 16
  16. 20
  17. 26
  18. 26
  19. 11
  20. 28
  21. 35
  22. 28
  23. 12
  24. 8
  25. 24
  26. 7
  27. 17
  28. 30
  29. 17
  30. 12
  31. 40
  32. 6
  33. 15
  34. 10
  35. 11
  36. 21
  37. 26
  38. 33
  39. 23
  40. 15

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