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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 922 · 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.

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  1. 1.5 years ago, Ananya’s mother was three times as old as Ananya. The mother is 14 years old now. How old is Ananya now?
  2. 2.Farhan’s father is five times as old as Farhan. The sum of their ages is 36 years. How old is the father?
  3. 3.Meera’s father is four times as old as Meera. The sum of their ages is 50 years. How old is Meera?
  4. 4.In 22 years, Karan will be three times as old as Karan was 6 years ago. How old is Karan now?
  5. 5.4 years ago, Rohan’s mother was twice as old as Rohan. The mother is 16 years old now. How old is Rohan now?
  6. 6.Diya’s father is five times as old as Diya. The sum of their ages is 30 years. How old is Diya?
  7. 7.6 years ago, Ananya’s mother was three times as old as Ananya. The mother is 24 years old now. How old is Ananya now?
  8. 8.Arjun’s father is three times as old as Arjun. The sum of their ages is 20 years. How old is Arjun?
  9. 9.In 30 years, Saanvi will be three times as old as Saanvi was 4 years ago. How old is Saanvi now?
  10. 10.2 years ago, Aarav’s mother was three times as old as Aarav. The mother is 26 years old now. How old is Aarav now?
  11. 11.In 20 years, Ishaan will be twice as old as Ishaan was 2 years ago. How old is Ishaan now?
  12. 12.Vivaan is 8 years older than Ishaan. In 5 years, the sum of their ages will be 48. How old is Ishaan now?
  13. 13.In 15 years, Pooja will be twice as old as Pooja was 2 years ago. How old is Pooja now?
  14. 14.2 years ago, Ishaan’s mother was four times as old as Ishaan. The mother is 50 years old now. How old is Ishaan now?
  15. 15.In 15 years, Ananya will be twice as old as Ananya was 5 years ago. How old is Ananya now?
  16. 16.Diya is 5 years older than Manav. In 8 years, the sum of their ages will be 49. How old is Manav now?
  17. 17.5 years ago, Farhan’s mother was twice as old as Farhan. The mother is 21 years old now. How old is Farhan now?
  18. 18.Saanvi is 2 years older than Aditya. In 7 years, the sum of their ages will be 44. How old is Aditya now?
  19. 19.9 years ago, Zoya’s mother was twice as old as Zoya. The mother is 17 years old now. How old is Zoya now?
  20. 20.Ishaan’s father is twice as old as Ishaan. The sum of their ages is 27 years. How old is Ishaan?
  21. 21.10 years ago, Arjun’s mother was three times as old as Arjun. The mother is 22 years old now. How old is Arjun now?
  22. 22.Isha is 3 years older than Pooja. In 8 years, the sum of their ages will be 65. How old is Pooja now?
  23. 23.Arjun’s father is four times as old as Arjun. The sum of their ages is 65 years. How old is Arjun?
  24. 24.10 years ago, Aarav’s mother was three times as old as Aarav. The mother is 46 years old now. How old is Aarav now?
  25. 25.In 3 years, Ananya will be three times as old as Ananya was 5 years ago. How old is Ananya now?
  26. 26.2 years ago, Diya’s mother was three times as old as Diya. The mother is 35 years old now. How old is Diya now?
  27. 27.3 years ago, Aditya’s mother was four times as old as Aditya. The mother is 35 years old now. How old is Aditya now?
  28. 28.10 years ago, Ananya’s mother was twice as old as Ananya. The mother is 22 years old now. How old is Ananya now?
  29. 29.Dev’s father is five times as old as Dev. The sum of their ages is 48 years. How old is Dev?
  30. 30.Aarav’s father is four times as old as Aarav. The sum of their ages is 25 years. How old is Aarav?
  31. 31.In 23 years, Zoya will be twice as old as Zoya was 5 years ago. How old is Zoya now?
  32. 32.Ishaan is 3 years older than Tara. In 4 years, the sum of their ages will be 41. How old is Tara now?
  33. 33.In 16 years, Zoya will be twice as old as Zoya was 6 years ago. How old is Zoya now?
  34. 34.Rohan’s father is three times as old as Rohan. The sum of their ages is 20 years. How old is the father?
  35. 35.9 years ago, Kavya’s mother was twice as old as Kavya. The mother is 15 years old now. How old is Kavya now?
  36. 36.Kavya’s father is three times as old as Kavya. The sum of their ages is 36 years. How old is Kavya?
  37. 37.In 23 years, Aarav will be twice as old as Aarav was 3 years ago. How old is Aarav now?
  38. 38.Isha is 4 years older than Nisha. In 2 years, the sum of their ages will be 30. How old is Nisha now?
  39. 39.Diya is 2 years older than Arjun. In 9 years, the sum of their ages will be 64. How old is Arjun now?
  40. 40.Aarav is 7 years older than Vivaan. In 4 years, the sum of their ages will be 29. How old is Vivaan now?

Answer key

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

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