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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 356 · 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.Ishaan’s father is twice as old as Ishaan. The sum of their ages is 45 years. How old is Ishaan?
  2. 2.9 years ago, Pooja’s mother was four times as old as Pooja. The mother is 29 years old now. How old is Pooja now?
  3. 3.7 years ago, Rahul’s mother was three times as old as Rahul. The mother is 16 years old now. How old is Rahul now?
  4. 4.Zoya’s father is four times as old as Zoya. The sum of their ages is 70 years. How old is the father?
  5. 5.In 17 years, Ananya will be twice as old as Ananya was 5 years ago. How old is Ananya now?
  6. 6.Kavya is 5 years older than Rohan. In 10 years, the sum of their ages will be 49. How old is Rohan now?
  7. 7.In 20 years, Aditya will be twice as old as Aditya was 3 years ago. How old is Aditya now?
  8. 8.In 16 years, Zoya will be three times as old as Zoya was 6 years ago. How old is Zoya now?
  9. 9.Tara is 2 years older than Pooja. In 8 years, the sum of their ages will be 46. How old is Pooja now?
  10. 10.3 years ago, Manav’s mother was four times as old as Manav. The mother is 15 years old now. How old is Manav now?
  11. 11.Pooja is 4 years older than Sneha. In 6 years, the sum of their ages will be 58. How old is Sneha now?
  12. 12.Diya is 5 years older than Isha. In 9 years, the sum of their ages will be 81. How old is Isha now?
  13. 13.10 years ago, Meera’s mother was three times as old as Meera. The mother is 40 years old now. How old is Meera now?
  14. 14.In 3 years, Aditya will be twice as old as Aditya was 5 years ago. How old is Aditya now?
  15. 15.Ananya is 9 years older than Karan. In 2 years, the sum of their ages will be 43. How old is Karan now?
  16. 16.Isha is 6 years older than Aditya. In 7 years, the sum of their ages will be 32. How old is Aditya now?
  17. 17.8 years ago, Isha’s mother was four times as old as Isha. The mother is 36 years old now. How old is Isha now?
  18. 18.8 years ago, Meera’s mother was four times as old as Meera. The mother is 28 years old now. How old is Meera now?
  19. 19.Pooja’s father is four times as old as Pooja. The sum of their ages is 45 years. How old is Pooja?
  20. 20.Meera is 5 years older than Aarav. In 8 years, the sum of their ages will be 35. How old is Aarav now?
  21. 21.Priya’s father is twice as old as Priya. The sum of their ages is 15 years. How old is Priya?
  22. 22.Pooja is 8 years older than Aditya. In 2 years, the sum of their ages will be 44. How old is Aditya now?
  23. 23.Ishaan’s father is three times as old as Ishaan. The sum of their ages is 32 years. How old is Ishaan?
  24. 24.Arjun’s father is three times as old as Arjun. The sum of their ages is 40 years. How old is Arjun?
  25. 25.Saanvi is 10 years older than Aarav. In 8 years, the sum of their ages will be 56. How old is Aarav now?
  26. 26.Arjun is 4 years older than Manav. In 4 years, the sum of their ages will be 58. How old is Manav now?
  27. 27.Rohan is 9 years older than Tara. In 6 years, the sum of their ages will be 41. How old is Tara now?
  28. 28.Isha’s father is three times as old as Isha. The sum of their ages is 28 years. How old is Isha?
  29. 29.5 years ago, Saanvi’s mother was twice as old as Saanvi. The mother is 13 years old now. How old is Saanvi now?
  30. 30.In 17 years, Arjun will be twice as old as Arjun was 4 years ago. How old is Arjun now?
  31. 31.8 years ago, Pooja’s mother was four times as old as Pooja. The mother is 20 years old now. How old is Pooja now?
  32. 32.In 21 years, Meera will be twice as old as Meera was 5 years ago. How old is Meera now?
  33. 33.In 30 years, Ishaan will be twice as old as Ishaan was 5 years ago. How old is Ishaan now?
  34. 34.Isha’s father is three times as old as Isha. The sum of their ages is 28 years. How old is the father?
  35. 35.10 years ago, Isha’s mother was twice as old as Isha. The mother is 34 years old now. How old is Isha now?
  36. 36.Priya’s father is five times as old as Priya. The sum of their ages is 54 years. How old is Priya?
  37. 37.In 19 years, Ishaan will be twice as old as Ishaan was 4 years ago. How old is Ishaan now?
  38. 38.Arjun is 10 years older than Rahul. In 3 years, the sum of their ages will be 70. How old is Rahul now?
  39. 39.Pooja’s father is twice as old as Pooja. The sum of their ages is 27 years. How old is the father?
  40. 40.In 15 years, Rahul will be three times as old as Rahul was 5 years ago. How old is Rahul now?

Answer key

  1. 15
  2. 14
  3. 10
  4. 56
  5. 27
  6. 12
  7. 26
  8. 17
  9. 14
  10. 6
  11. 21
  12. 29
  13. 20
  14. 13
  15. 15
  16. 6
  17. 15
  18. 13
  19. 9
  20. 7
  21. 5
  22. 16
  23. 8
  24. 10
  25. 15
  26. 23
  27. 10
  28. 7
  29. 9
  30. 25
  31. 11
  32. 31
  33. 40
  34. 21
  35. 22
  36. 9
  37. 27
  38. 27
  39. 18
  40. 15

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