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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 420 · 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. 1.7 years ago, Tara’s mother was three times as old as Tara. The mother is 43 years old now. How old is Tara now?
  2. 2.6 years ago, Farhan’s mother was twice as old as Farhan. The mother is 28 years old now. How old is Farhan now?
  3. 3.Ananya’s father is twice as old as Ananya. The sum of their ages is 24 years. How old is Ananya?
  4. 4.In 20 years, Manav will be twice as old as Manav was 6 years ago. How old is Manav now?
  5. 5.4 years ago, Tara’s mother was four times as old as Tara. The mother is 16 years old now. How old is Tara now?
  6. 6.6 years ago, Arjun’s mother was four times as old as Arjun. The mother is 38 years old now. How old is Arjun now?
  7. 7.Saanvi’s father is twice as old as Saanvi. The sum of their ages is 27 years. How old is Saanvi?
  8. 8.Nisha’s father is five times as old as Nisha. The sum of their ages is 72 years. How old is Nisha?
  9. 9.Manav is 8 years older than Ananya. In 3 years, the sum of their ages will be 50. How old is Ananya now?
  10. 10.In 25 years, Ishaan will be three times as old as Ishaan was 3 years ago. How old is Ishaan now?
  11. 11.Kavya is 7 years older than Meera. In 2 years, the sum of their ages will be 31. How old is Meera now?
  12. 12.Dev’s father is three times as old as Dev. The sum of their ages is 56 years. How old is Dev?
  13. 13.5 years ago, Tara’s mother was twice as old as Tara. The mother is 29 years old now. How old is Tara now?
  14. 14.3 years ago, Diya’s mother was twice as old as Diya. The mother is 27 years old now. How old is Diya now?
  15. 15.Zoya is 10 years older than Aditya. In 8 years, the sum of their ages will be 60. How old is Aditya now?
  16. 16.Ananya’s father is twice as old as Ananya. The sum of their ages is 21 years. How old is Ananya?
  17. 17.Kabir’s father is five times as old as Kabir. The sum of their ages is 78 years. How old is the father?
  18. 18.Ananya’s father is five times as old as Ananya. The sum of their ages is 90 years. How old is Ananya?
  19. 19.Kavya’s father is five times as old as Kavya. The sum of their ages is 54 years. How old is the father?
  20. 20.In 17 years, Kavya will be twice as old as Kavya was 6 years ago. How old is Kavya now?
  21. 21.Sneha is 6 years older than Rohan. In 2 years, the sum of their ages will be 30. How old is Rohan now?
  22. 22.Priya’s father is twice as old as Priya. The sum of their ages is 30 years. How old is Priya?
  23. 23.In 13 years, Manav will be twice as old as Manav was 3 years ago. How old is Manav now?
  24. 24.Aditya is 3 years older than Meera. In 7 years, the sum of their ages will be 77. How old is Meera now?
  25. 25.Pooja’s father is five times as old as Pooja. The sum of their ages is 66 years. How old is Pooja?
  26. 26.Sneha is 2 years older than Pooja. In 9 years, the sum of their ages will be 38. How old is Pooja now?
  27. 27.Manav’s father is five times as old as Manav. The sum of their ages is 30 years. How old is the father?
  28. 28.Saanvi is 7 years older than Pooja. In 4 years, the sum of their ages will be 47. How old is Pooja now?
  29. 29.9 years ago, Aarav’s mother was three times as old as Aarav. The mother is 27 years old now. How old is Aarav now?
  30. 30.Rahul’s father is twice as old as Rahul. The sum of their ages is 24 years. How old is the father?
  31. 31.Ananya’s father is five times as old as Ananya. The sum of their ages is 66 years. How old is Ananya?
  32. 32.Aditya is 3 years older than Saanvi. In 8 years, the sum of their ages will be 61. How old is Saanvi now?
  33. 33.In 24 years, Saanvi will be twice as old as Saanvi was 4 years ago. How old is Saanvi now?
  34. 34.Saanvi’s father is three times as old as Saanvi. The sum of their ages is 20 years. How old is the father?
  35. 35.2 years ago, Priya’s mother was twice as old as Priya. The mother is 14 years old now. How old is Priya now?
  36. 36.Arjun is 2 years older than Nisha. In 10 years, the sum of their ages will be 40. How old is Nisha now?
  37. 37.5 years ago, Zoya’s mother was three times as old as Zoya. The mother is 17 years old now. How old is Zoya now?
  38. 38.Vivaan is 2 years older than Ananya. In 3 years, the sum of their ages will be 64. How old is Ananya now?
  39. 39.5 years ago, Priya’s mother was twice as old as Priya. The mother is 15 years old now. How old is Priya now?
  40. 40.Sneha is 7 years older than Karan. In 5 years, the sum of their ages will be 77. How old is Karan now?

Answer key

  1. 19
  2. 17
  3. 8
  4. 32
  5. 7
  6. 14
  7. 9
  8. 12
  9. 18
  10. 17
  11. 10
  12. 14
  13. 17
  14. 15
  15. 17
  16. 7
  17. 65
  18. 15
  19. 45
  20. 29
  21. 10
  22. 10
  23. 19
  24. 30
  25. 11
  26. 9
  27. 25
  28. 16
  29. 15
  30. 16
  31. 11
  32. 21
  33. 32
  34. 15
  35. 8
  36. 9
  37. 9
  38. 28
  39. 10
  40. 30

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