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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 105 · 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, Ananya’s mother was four times as old as Ananya. The mother is 18 years old now. How old is Ananya now?
  2. 2.10 years ago, Ananya’s mother was four times as old as Ananya. The mother is 42 years old now. How old is Ananya now?
  3. 3.Dev’s father is three times as old as Dev. The sum of their ages is 24 years. How old is Dev?
  4. 4.9 years ago, Vivaan’s mother was twice as old as Vivaan. The mother is 29 years old now. How old is Vivaan now?
  5. 5.Tara’s father is five times as old as Tara. The sum of their ages is 72 years. How old is Tara?
  6. 6.Arjun’s father is twice as old as Arjun. The sum of their ages is 18 years. How old is Arjun?
  7. 7.Vivaan is 5 years older than Rahul. In 4 years, the sum of their ages will be 57. How old is Rahul now?
  8. 8.3 years ago, Aditya’s mother was twice as old as Aditya. The mother is 13 years old now. How old is Aditya now?
  9. 9.Aditya’s father is three times as old as Aditya. The sum of their ages is 56 years. How old is the father?
  10. 10.Isha’s father is twice as old as Isha. The sum of their ages is 24 years. How old is Isha?
  11. 11.Ishaan’s father is twice as old as Ishaan. The sum of their ages is 21 years. How old is Ishaan?
  12. 12.In 21 years, Priya will be twice as old as Priya was 3 years ago. How old is Priya now?
  13. 13.In 10 years, Vivaan will be three times as old as Vivaan was 4 years ago. How old is Vivaan now?
  14. 14.Manav is 6 years older than Arjun. In 8 years, the sum of their ages will be 32. How old is Arjun now?
  15. 15.Ishaan is 5 years older than Pooja. In 2 years, the sum of their ages will be 69. How old is Pooja now?
  16. 16.Isha is 9 years older than Meera. In 9 years, the sum of their ages will be 37. How old is Meera now?
  17. 17.In 27 years, Pooja will be twice as old as Pooja was 5 years ago. How old is Pooja now?
  18. 18.Rohan is 5 years older than Ananya. In 4 years, the sum of their ages will be 49. How old is Ananya now?
  19. 19.In 3 years, Meera will be twice as old as Meera was 3 years ago. How old is Meera now?
  20. 20.In 10 years, Diya will be twice as old as Diya was 2 years ago. How old is Diya now?
  21. 21.Saanvi is 8 years older than Tara. In 3 years, the sum of their ages will be 26. How old is Tara now?
  22. 22.Kabir is 8 years older than Aarav. In 4 years, the sum of their ages will be 64. How old is Aarav now?
  23. 23.Arjun is 5 years older than Rohan. In 9 years, the sum of their ages will be 37. How old is Rohan now?
  24. 24.Arjun’s father is five times as old as Arjun. The sum of their ages is 90 years. How old is Arjun?
  25. 25.Meera is 6 years older than Saanvi. In 2 years, the sum of their ages will be 60. How old is Saanvi now?
  26. 26.In 12 years, Dev will be twice as old as Dev was 5 years ago. How old is Dev now?
  27. 27.8 years ago, Ishaan’s mother was three times as old as Ishaan. The mother is 32 years old now. How old is Ishaan now?
  28. 28.In 10 years, Pooja will be three times as old as Pooja was 4 years ago. How old is Pooja now?
  29. 29.Ishaan’s father is four times as old as Ishaan. The sum of their ages is 75 years. How old is the father?
  30. 30.5 years ago, Kavya’s mother was three times as old as Kavya. The mother is 35 years old now. How old is Kavya now?
  31. 31.Diya is 3 years older than Kavya. In 6 years, the sum of their ages will be 73. How old is Kavya now?
  32. 32.Saanvi’s father is twice as old as Saanvi. The sum of their ages is 33 years. How old is Saanvi?
  33. 33.Diya’s father is five times as old as Diya. The sum of their ages is 48 years. How old is Diya?
  34. 34.4 years ago, Ananya’s mother was twice as old as Ananya. The mother is 14 years old now. How old is Ananya now?
  35. 35.5 years ago, Tara’s mother was twice as old as Tara. The mother is 13 years old now. How old is Tara now?
  36. 36.10 years ago, Diya’s mother was three times as old as Diya. The mother is 34 years old now. How old is Diya now?
  37. 37.In 13 years, Karan will be twice as old as Karan was 2 years ago. How old is Karan now?
  38. 38.8 years ago, Manav’s mother was three times as old as Manav. The mother is 20 years old now. How old is Manav now?
  39. 39.7 years ago, Rohan’s mother was twice as old as Rohan. The mother is 19 years old now. How old is Rohan now?
  40. 40.2 years ago, Dev’s mother was three times as old as Dev. The mother is 26 years old now. How old is Dev now?

Answer key

  1. 9
  2. 18
  3. 6
  4. 19
  5. 12
  6. 6
  7. 22
  8. 8
  9. 42
  10. 8
  11. 7
  12. 27
  13. 11
  14. 5
  15. 30
  16. 5
  17. 37
  18. 18
  19. 9
  20. 14
  21. 6
  22. 24
  23. 7
  24. 15
  25. 25
  26. 22
  27. 16
  28. 11
  29. 60
  30. 15
  31. 29
  32. 11
  33. 8
  34. 9
  35. 9
  36. 18
  37. 17
  38. 12
  39. 13
  40. 10

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