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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 543 · 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. 1.10 years ago, Ananya’s mother was three times as old as Ananya. The mother is 34 years old now. How old is Ananya now?
  2. 2.In 8 years, Karan will be twice as old as Karan was 2 years ago. How old is Karan now?
  3. 3.Ananya is 9 years older than Aditya. In 6 years, the sum of their ages will be 37. How old is Aditya now?
  4. 4.In 21 years, Rohan will be twice as old as Rohan was 6 years ago. How old is Rohan now?
  5. 5.5 years ago, Manav’s mother was twice as old as Manav. The mother is 17 years old now. How old is Manav now?
  6. 6.2 years ago, Saanvi’s mother was twice as old as Saanvi. The mother is 8 years old now. How old is Saanvi now?
  7. 7.Arjun is 9 years older than Diya. In 10 years, the sum of their ages will be 41. How old is Diya now?
  8. 8.Nisha is 6 years older than Diya. In 6 years, the sum of their ages will be 74. How old is Diya now?
  9. 9.In 27 years, Manav will be twice as old as Manav was 4 years ago. How old is Manav now?
  10. 10.In 8 years, Arjun will be three times as old as Arjun was 4 years ago. How old is Arjun now?
  11. 11.In 25 years, Rahul will be twice as old as Rahul was 2 years ago. How old is Rahul now?
  12. 12.Zoya is 4 years older than Rohan. In 10 years, the sum of their ages will be 50. How old is Rohan now?
  13. 13.Dev’s father is three times as old as Dev. The sum of their ages is 40 years. How old is the father?
  14. 14.4 years ago, Priya’s mother was twice as old as Priya. The mother is 28 years old now. How old is Priya now?
  15. 15.In 5 years, Ishaan will be twice as old as Ishaan was 4 years ago. How old is Ishaan now?
  16. 16.In 30 years, Karan will be twice as old as Karan was 4 years ago. How old is Karan now?
  17. 17.Zoya’s father is four times as old as Zoya. The sum of their ages is 75 years. How old is the father?
  18. 18.Diya is 5 years older than Aarav. In 4 years, the sum of their ages will be 65. How old is Aarav now?
  19. 19.Ananya is 4 years older than Ishaan. In 8 years, the sum of their ages will be 38. How old is Ishaan now?
  20. 20.Tara is 2 years older than Zoya. In 2 years, the sum of their ages will be 64. How old is Zoya now?
  21. 21.Diya is 3 years older than Kavya. In 7 years, the sum of their ages will be 39. How old is Kavya now?
  22. 22.In 10 years, Arjun will be twice as old as Arjun was 6 years ago. How old is Arjun now?
  23. 23.4 years ago, Kavya’s mother was four times as old as Kavya. The mother is 28 years old now. How old is Kavya now?
  24. 24.In 14 years, Rahul will be three times as old as Rahul was 2 years ago. How old is Rahul now?
  25. 25.4 years ago, Zoya’s mother was four times as old as Zoya. The mother is 24 years old now. How old is Zoya now?
  26. 26.In 30 years, Arjun will be three times as old as Arjun was 2 years ago. How old is Arjun now?
  27. 27.4 years ago, Vivaan’s mother was twice as old as Vivaan. The mother is 12 years old now. How old is Vivaan now?
  28. 28.In 10 years, Priya will be twice as old as Priya was 2 years ago. How old is Priya now?
  29. 29.6 years ago, Ishaan’s mother was three times as old as Ishaan. The mother is 42 years old now. How old is Ishaan now?
  30. 30.Kabir is 3 years older than Pooja. In 7 years, the sum of their ages will be 37. How old is Pooja now?
  31. 31.Rahul is 9 years older than Isha. In 10 years, the sum of their ages will be 49. How old is Isha now?
  32. 32.5 years ago, Manav’s mother was four times as old as Manav. The mother is 41 years old now. How old is Manav now?
  33. 33.In 28 years, Farhan will be twice as old as Farhan was 2 years ago. How old is Farhan now?
  34. 34.In 22 years, Kabir will be three times as old as Kabir was 2 years ago. How old is Kabir now?
  35. 35.Arjun is 9 years older than Nisha. In 8 years, the sum of their ages will be 57. How old is Nisha now?
  36. 36.Nisha is 6 years older than Zoya. In 9 years, the sum of their ages will be 76. How old is Zoya now?
  37. 37.Dev’s father is three times as old as Dev. The sum of their ages is 36 years. How old is Dev?
  38. 38.Aarav’s father is four times as old as Aarav. The sum of their ages is 45 years. How old is the father?
  39. 39.4 years ago, Kabir’s mother was three times as old as Kabir. The mother is 19 years old now. How old is Kabir now?
  40. 40.4 years ago, Isha’s mother was three times as old as Isha. The mother is 13 years old now. How old is Isha now?

Answer key

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

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