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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 598 · 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. 1.9 years ago, Ishaan’s mother was three times as old as Ishaan. The mother is 33 years old now. How old is Ishaan now?
  2. 2.In 26 years, Ananya will be twice as old as Ananya was 6 years ago. How old is Ananya now?
  3. 3.5 years ago, Diya’s mother was twice as old as Diya. The mother is 29 years old now. How old is Diya now?
  4. 4.Aditya is 3 years older than Nisha. In 9 years, the sum of their ages will be 37. How old is Nisha now?
  5. 5.Aarav is 6 years older than Ananya. In 6 years, the sum of their ages will be 44. How old is Ananya now?
  6. 6.Dev’s father is three times as old as Dev. The sum of their ages is 36 years. How old is Dev?
  7. 7.2 years ago, Diya’s mother was twice as old as Diya. The mother is 18 years old now. How old is Diya now?
  8. 8.In 30 years, Diya will be twice as old as Diya was 2 years ago. How old is Diya now?
  9. 9.Meera is 2 years older than Rahul. In 6 years, the sum of their ages will be 56. How old is Rahul now?
  10. 10.5 years ago, Diya’s mother was twice as old as Diya. The mother is 13 years old now. How old is Diya now?
  11. 11.5 years ago, Manav’s mother was twice as old as Manav. The mother is 17 years old now. How old is Manav now?
  12. 12.10 years ago, Kavya’s mother was three times as old as Kavya. The mother is 34 years old now. How old is Kavya now?
  13. 13.Zoya’s father is twice as old as Zoya. The sum of their ages is 45 years. How old is Zoya?
  14. 14.Diya’s father is five times as old as Diya. The sum of their ages is 42 years. How old is Diya?
  15. 15.Arjun is 8 years older than Rahul. In 7 years, the sum of their ages will be 78. How old is Rahul now?
  16. 16.In 13 years, Ishaan will be twice as old as Ishaan was 5 years ago. How old is Ishaan now?
  17. 17.7 years ago, Ananya’s mother was four times as old as Ananya. The mother is 51 years old now. How old is Ananya now?
  18. 18.Rohan’s father is five times as old as Rohan. The sum of their ages is 36 years. How old is the father?
  19. 19.3 years ago, Kavya’s mother was four times as old as Kavya. The mother is 51 years old now. How old is Kavya now?
  20. 20.Dev is 2 years older than Diya. In 10 years, the sum of their ages will be 60. How old is Diya now?
  21. 21.6 years ago, Priya’s mother was four times as old as Priya. The mother is 38 years old now. How old is Priya now?
  22. 22.Arjun is 2 years older than Zoya. In 7 years, the sum of their ages will be 26. How old is Zoya now?
  23. 23.Diya’s father is four times as old as Diya. The sum of their ages is 50 years. How old is the father?
  24. 24.Nisha’s father is five times as old as Nisha. The sum of their ages is 48 years. How old is Nisha?
  25. 25.In 23 years, Rohan will be three times as old as Rohan was 3 years ago. How old is Rohan now?
  26. 26.Farhan is 2 years older than Kabir. In 7 years, the sum of their ages will be 42. How old is Kabir now?
  27. 27.Farhan’s father is four times as old as Farhan. The sum of their ages is 35 years. How old is Farhan?
  28. 28.3 years ago, Diya’s mother was twice as old as Diya. The mother is 21 years old now. How old is Diya now?
  29. 29.Pooja is 3 years older than Meera. In 3 years, the sum of their ages will be 43. How old is Meera now?
  30. 30.Rohan is 4 years older than Saanvi. In 10 years, the sum of their ages will be 36. How old is Saanvi now?
  31. 31.Diya’s father is four times as old as Diya. The sum of their ages is 50 years. How old is Diya?
  32. 32.Vivaan’s father is four times as old as Vivaan. The sum of their ages is 65 years. How old is the father?
  33. 33.6 years ago, Arjun’s mother was four times as old as Arjun. The mother is 30 years old now. How old is Arjun now?
  34. 34.Aditya’s father is three times as old as Aditya. The sum of their ages is 48 years. How old is the father?
  35. 35.Zoya is 7 years older than Diya. In 2 years, the sum of their ages will be 69. How old is Diya now?
  36. 36.8 years ago, Ananya’s mother was twice as old as Ananya. The mother is 28 years old now. How old is Ananya now?
  37. 37.Priya’s father is three times as old as Priya. The sum of their ages is 48 years. How old is the father?
  38. 38.Tara is 3 years older than Nisha. In 4 years, the sum of their ages will be 47. How old is Nisha now?
  39. 39.Kabir’s father is five times as old as Kabir. The sum of their ages is 48 years. How old is the father?
  40. 40.Aditya’s father is five times as old as Aditya. The sum of their ages is 84 years. How old is the father?

Answer key

  1. 17
  2. 38
  3. 17
  4. 8
  5. 13
  6. 9
  7. 10
  8. 34
  9. 21
  10. 9
  11. 11
  12. 18
  13. 15
  14. 7
  15. 28
  16. 23
  17. 18
  18. 30
  19. 15
  20. 19
  21. 14
  22. 5
  23. 40
  24. 8
  25. 16
  26. 13
  27. 7
  28. 12
  29. 17
  30. 6
  31. 10
  32. 52
  33. 12
  34. 36
  35. 29
  36. 18
  37. 36
  38. 18
  39. 40
  40. 70

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