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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 824 · 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.Rahul’s father is three times as old as Rahul. The sum of their ages is 48 years. How old is Rahul?
  2. 2.8 years ago, Diya’s mother was four times as old as Diya. The mother is 52 years old now. How old is Diya now?
  3. 3.Vivaan is 2 years older than Aditya. In 3 years, the sum of their ages will be 58. How old is Aditya now?
  4. 4.9 years ago, Farhan’s mother was three times as old as Farhan. The mother is 21 years old now. How old is Farhan now?
  5. 5.Rahul’s father is five times as old as Rahul. The sum of their ages is 72 years. How old is Rahul?
  6. 6.In 15 years, Rahul will be three times as old as Rahul was 3 years ago. How old is Rahul now?
  7. 7.Ananya is 9 years older than Aditya. In 8 years, the sum of their ages will be 65. How old is Aditya now?
  8. 8.In 2 years, Rohan will be twice as old as Rohan was 4 years ago. How old is Rohan now?
  9. 9.Farhan’s father is five times as old as Farhan. The sum of their ages is 60 years. How old is the father?
  10. 10.Kavya is 5 years older than Meera. In 2 years, the sum of their ages will be 25. How old is Meera now?
  11. 11.In 10 years, Rahul will be twice as old as Rahul was 5 years ago. How old is Rahul now?
  12. 12.In 10 years, Aarav will be twice as old as Aarav was 3 years ago. How old is Aarav now?
  13. 13.Sneha is 5 years older than Priya. In 9 years, the sum of their ages will be 49. How old is Priya now?
  14. 14.4 years ago, Karan’s mother was four times as old as Karan. The mother is 24 years old now. How old is Karan now?
  15. 15.Rohan’s father is four times as old as Rohan. The sum of their ages is 75 years. How old is Rohan?
  16. 16.Meera is 5 years older than Ananya. In 5 years, the sum of their ages will be 45. How old is Ananya now?
  17. 17.4 years ago, Karan’s mother was four times as old as Karan. The mother is 20 years old now. How old is Karan now?
  18. 18.10 years ago, Sneha’s mother was four times as old as Sneha. The mother is 30 years old now. How old is Sneha now?
  19. 19.6 years ago, Farhan’s mother was three times as old as Farhan. The mother is 39 years old now. How old is Farhan now?
  20. 20.In 6 years, Dev will be twice as old as Dev was 6 years ago. How old is Dev now?
  21. 21.Kavya’s father is twice as old as Kavya. The sum of their ages is 18 years. How old is Kavya?
  22. 22.In 8 years, Vivaan will be twice as old as Vivaan was 4 years ago. How old is Vivaan now?
  23. 23.Kabir’s father is five times as old as Kabir. The sum of their ages is 30 years. How old is the father?
  24. 24.Diya’s father is twice as old as Diya. The sum of their ages is 18 years. How old is the father?
  25. 25.2 years ago, Ananya’s mother was three times as old as Ananya. The mother is 26 years old now. How old is Ananya now?
  26. 26.Zoya is 10 years older than Karan. In 10 years, the sum of their ages will be 88. How old is Karan now?
  27. 27.Diya is 7 years older than Nisha. In 4 years, the sum of their ages will be 59. How old is Nisha now?
  28. 28.Aditya is 9 years older than Nisha. In 9 years, the sum of their ages will be 83. How old is Nisha now?
  29. 29.Isha’s father is five times as old as Isha. The sum of their ages is 42 years. How old is the father?
  30. 30.Kavya is 4 years older than Kabir. In 6 years, the sum of their ages will be 60. How old is Kabir now?
  31. 31.Arjun’s father is four times as old as Arjun. The sum of their ages is 45 years. How old is Arjun?
  32. 32.Manav is 4 years older than Nisha. In 7 years, the sum of their ages will be 56. How old is Nisha now?
  33. 33.Arjun’s father is three times as old as Arjun. The sum of their ages is 48 years. How old is the father?
  34. 34.In 13 years, Diya will be three times as old as Diya was 5 years ago. How old is Diya now?
  35. 35.Manav is 6 years older than Farhan. In 8 years, the sum of their ages will be 32. How old is Farhan now?
  36. 36.Ananya is 6 years older than Isha. In 8 years, the sum of their ages will be 66. How old is Isha now?
  37. 37.Diya’s father is four times as old as Diya. The sum of their ages is 75 years. How old is the father?
  38. 38.In 30 years, Rahul will be twice as old as Rahul was 5 years ago. How old is Rahul now?
  39. 39.Rahul’s father is twice as old as Rahul. The sum of their ages is 36 years. How old is Rahul?
  40. 40.Diya is 4 years older than Tara. In 4 years, the sum of their ages will be 54. How old is Tara now?

Answer key

  1. 12
  2. 19
  3. 25
  4. 13
  5. 12
  6. 12
  7. 20
  8. 10
  9. 50
  10. 8
  11. 20
  12. 16
  13. 13
  14. 9
  15. 15
  16. 15
  17. 8
  18. 15
  19. 17
  20. 18
  21. 6
  22. 16
  23. 25
  24. 12
  25. 10
  26. 29
  27. 22
  28. 28
  29. 35
  30. 22
  31. 9
  32. 19
  33. 36
  34. 14
  35. 5
  36. 22
  37. 60
  38. 40
  39. 12
  40. 21

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