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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 239 · 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, Aarav’s mother was three times as old as Aarav. The mother is 28 years old now. How old is Aarav now?
  2. 2.5 years ago, Rohan’s mother was three times as old as Rohan. The mother is 26 years old now. How old is Rohan now?
  3. 3.Arjun is 4 years older than Vivaan. In 8 years, the sum of their ages will be 66. How old is Vivaan now?
  4. 4.Saanvi’s father is four times as old as Saanvi. The sum of their ages is 45 years. How old is Saanvi?
  5. 5.Rohan’s father is twice as old as Rohan. The sum of their ages is 30 years. How old is the father?
  6. 6.In 5 years, Arjun will be twice as old as Arjun was 2 years ago. How old is Arjun now?
  7. 7.Aditya is 2 years older than Kavya. In 6 years, the sum of their ages will be 58. How old is Kavya now?
  8. 8.Rahul’s father is three times as old as Rahul. The sum of their ages is 40 years. How old is the father?
  9. 9.In 20 years, Sneha will be twice as old as Sneha was 5 years ago. How old is Sneha now?
  10. 10.Zoya is 3 years older than Ishaan. In 2 years, the sum of their ages will be 67. How old is Ishaan now?
  11. 11.Meera’s father is four times as old as Meera. The sum of their ages is 40 years. How old is Meera?
  12. 12.Rohan is 8 years older than Vivaan. In 9 years, the sum of their ages will be 86. How old is Vivaan now?
  13. 13.In 10 years, Tara will be three times as old as Tara was 2 years ago. How old is Tara now?
  14. 14.10 years ago, Ishaan’s mother was twice as old as Ishaan. The mother is 34 years old now. How old is Ishaan now?
  15. 15.4 years ago, Manav’s mother was four times as old as Manav. The mother is 44 years old now. How old is Manav now?
  16. 16.Tara is 9 years older than Rahul. In 2 years, the sum of their ages will be 61. How old is Rahul now?
  17. 17.8 years ago, Aditya’s mother was twice as old as Aditya. The mother is 26 years old now. How old is Aditya now?
  18. 18.Aarav is 5 years older than Rohan. In 4 years, the sum of their ages will be 53. How old is Rohan now?
  19. 19.Priya’s father is four times as old as Priya. The sum of their ages is 75 years. How old is Priya?
  20. 20.3 years ago, Manav’s mother was four times as old as Manav. The mother is 43 years old now. How old is Manav now?
  21. 21.Nisha is 6 years older than Ananya. In 5 years, the sum of their ages will be 36. How old is Ananya now?
  22. 22.Karan’s father is three times as old as Karan. The sum of their ages is 60 years. How old is Karan?
  23. 23.Diya is 6 years older than Priya. In 5 years, the sum of their ages will be 76. How old is Priya now?
  24. 24.Nisha is 7 years older than Karan. In 4 years, the sum of their ages will be 75. How old is Karan now?
  25. 25.Aarav’s father is twice as old as Aarav. The sum of their ages is 15 years. How old is the father?
  26. 26.Diya’s father is three times as old as Diya. The sum of their ages is 40 years. How old is Diya?
  27. 27.4 years ago, Tara’s mother was three times as old as Tara. The mother is 22 years old now. How old is Tara now?
  28. 28.Zoya’s father is twice as old as Zoya. The sum of their ages is 24 years. How old is Zoya?
  29. 29.Tara’s father is twice as old as Tara. The sum of their ages is 18 years. How old is Tara?
  30. 30.Aditya’s father is five times as old as Aditya. The sum of their ages is 48 years. How old is the father?
  31. 31.Ishaan’s father is three times as old as Ishaan. The sum of their ages is 52 years. How old is Ishaan?
  32. 32.Aditya’s father is four times as old as Aditya. The sum of their ages is 50 years. How old is the father?
  33. 33.5 years ago, Sneha’s mother was twice as old as Sneha. The mother is 17 years old now. How old is Sneha now?
  34. 34.Ishaan’s father is twice as old as Ishaan. The sum of their ages is 24 years. How old is Ishaan?
  35. 35.In 14 years, Tara will be twice as old as Tara was 6 years ago. How old is Tara now?
  36. 36.Meera is 3 years older than Farhan. In 2 years, the sum of their ages will be 25. How old is Farhan now?
  37. 37.5 years ago, Zoya’s mother was twice as old as Zoya. The mother is 11 years old now. How old is Zoya now?
  38. 38.In 9 years, Karan will be twice as old as Karan was 5 years ago. How old is Karan now?
  39. 39.Diya is 2 years older than Meera. In 5 years, the sum of their ages will be 22. How old is Meera now?
  40. 40.In 9 years, Pooja will be twice as old as Pooja was 4 years ago. How old is Pooja now?

Answer key

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

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