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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 253 · 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.Arjun’s father is twice as old as Arjun. The sum of their ages is 15 years. How old is Arjun?
  2. 2.3 years ago, Farhan’s mother was four times as old as Farhan. The mother is 23 years old now. How old is Farhan now?
  3. 3.10 years ago, Ishaan’s mother was four times as old as Ishaan. The mother is 38 years old now. How old is Ishaan now?
  4. 4.Ananya is 6 years older than Diya. In 6 years, the sum of their ages will be 54. How old is Diya now?
  5. 5.Diya’s father is four times as old as Diya. The sum of their ages is 70 years. How old is the father?
  6. 6.Ananya’s father is three times as old as Ananya. The sum of their ages is 20 years. How old is the father?
  7. 7.In 29 years, Isha will be three times as old as Isha was 3 years ago. How old is Isha now?
  8. 8.5 years ago, Diya’s mother was three times as old as Diya. The mother is 14 years old now. How old is Diya now?
  9. 9.2 years ago, Kabir’s mother was four times as old as Kabir. The mother is 18 years old now. How old is Kabir now?
  10. 10.Rohan’s father is three times as old as Rohan. The sum of their ages is 40 years. How old is the father?
  11. 11.Rohan is 10 years older than Aditya. In 5 years, the sum of their ages will be 38. How old is Aditya now?
  12. 12.Manav is 2 years older than Zoya. In 7 years, the sum of their ages will be 26. How old is Zoya now?
  13. 13.7 years ago, Ishaan’s mother was three times as old as Ishaan. The mother is 19 years old now. How old is Ishaan now?
  14. 14.Arjun is 8 years older than Pooja. In 7 years, the sum of their ages will be 62. How old is Pooja now?
  15. 15.In 7 years, Ananya will be twice as old as Ananya was 6 years ago. How old is Ananya now?
  16. 16.In 26 years, Aarav will be three times as old as Aarav was 2 years ago. How old is Aarav now?
  17. 17.Kavya’s father is twice as old as Kavya. The sum of their ages is 24 years. How old is Kavya?
  18. 18.Isha’s father is five times as old as Isha. The sum of their ages is 84 years. How old is the father?
  19. 19.8 years ago, Rohan’s mother was four times as old as Rohan. The mother is 36 years old now. How old is Rohan now?
  20. 20.In 22 years, Arjun will be three times as old as Arjun was 4 years ago. How old is Arjun now?
  21. 21.Aarav’s father is three times as old as Aarav. The sum of their ages is 20 years. How old is the father?
  22. 22.6 years ago, Nisha’s mother was twice as old as Nisha. The mother is 20 years old now. How old is Nisha now?
  23. 23.Kavya is 10 years older than Nisha. In 10 years, the sum of their ages will be 90. How old is Nisha now?
  24. 24.7 years ago, Vivaan’s mother was four times as old as Vivaan. The mother is 55 years old now. How old is Vivaan now?
  25. 25.Priya is 5 years older than Pooja. In 2 years, the sum of their ages will be 51. How old is Pooja now?
  26. 26.5 years ago, Rahul’s mother was three times as old as Rahul. The mother is 41 years old now. How old is Rahul now?
  27. 27.9 years ago, Karan’s mother was four times as old as Karan. The mother is 49 years old now. How old is Karan now?
  28. 28.In 21 years, Farhan will be twice as old as Farhan was 2 years ago. How old is Farhan now?
  29. 29.Aditya’s father is five times as old as Aditya. The sum of their ages is 84 years. How old is the father?
  30. 30.Zoya’s father is five times as old as Zoya. The sum of their ages is 78 years. How old is Zoya?
  31. 31.10 years ago, Diya’s mother was four times as old as Diya. The mother is 30 years old now. How old is Diya now?
  32. 32.4 years ago, Aarav’s mother was twice as old as Aarav. The mother is 24 years old now. How old is Aarav now?
  33. 33.Saanvi’s father is three times as old as Saanvi. The sum of their ages is 44 years. How old is the father?
  34. 34.6 years ago, Rohan’s mother was three times as old as Rohan. The mother is 30 years old now. How old is Rohan now?
  35. 35.Saanvi is 9 years older than Kabir. In 10 years, the sum of their ages will be 53. How old is Kabir now?
  36. 36.Rohan is 9 years older than Sneha. In 10 years, the sum of their ages will be 81. How old is Sneha now?
  37. 37.Ananya is 9 years older than Kavya. In 3 years, the sum of their ages will be 51. How old is Kavya now?
  38. 38.Dev’s father is three times as old as Dev. The sum of their ages is 20 years. How old is Dev?
  39. 39.In 23 years, Diya will be twice as old as Diya was 3 years ago. How old is Diya now?
  40. 40.In 28 years, Aarav will be twice as old as Aarav was 3 years ago. How old is Aarav now?

Answer key

  1. 5
  2. 8
  3. 17
  4. 18
  5. 56
  6. 15
  7. 19
  8. 8
  9. 6
  10. 30
  11. 9
  12. 5
  13. 11
  14. 20
  15. 19
  16. 16
  17. 8
  18. 70
  19. 15
  20. 17
  21. 15
  22. 13
  23. 30
  24. 19
  25. 21
  26. 17
  27. 19
  28. 25
  29. 70
  30. 13
  31. 15
  32. 14
  33. 33
  34. 14
  35. 12
  36. 26
  37. 18
  38. 5
  39. 29
  40. 34

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