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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 648 · 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.Manav’s father is five times as old as Manav. The sum of their ages is 66 years. How old is Manav?
  2. 2.Saanvi is 9 years older than Nisha. In 6 years, the sum of their ages will be 39. How old is Nisha now?
  3. 3.Arjun is 3 years older than Diya. In 9 years, the sum of their ages will be 73. How old is Diya now?
  4. 4.Rohan’s father is three times as old as Rohan. The sum of their ages is 48 years. How old is the father?
  5. 5.Zoya is 6 years older than Karan. In 4 years, the sum of their ages will be 54. How old is Karan now?
  6. 6.8 years ago, Farhan’s mother was three times as old as Farhan. The mother is 44 years old now. How old is Farhan now?
  7. 7.Zoya is 9 years older than Vivaan. In 3 years, the sum of their ages will be 73. How old is Vivaan now?
  8. 8.Pooja is 8 years older than Dev. In 8 years, the sum of their ages will be 40. How old is Dev now?
  9. 9.Nisha’s father is five times as old as Nisha. The sum of their ages is 36 years. How old is Nisha?
  10. 10.3 years ago, Isha’s mother was three times as old as Isha. The mother is 36 years old now. How old is Isha now?
  11. 11.Aarav is 10 years older than Zoya. In 10 years, the sum of their ages will be 78. How old is Zoya now?
  12. 12.Rohan’s father is three times as old as Rohan. The sum of their ages is 40 years. How old is the father?
  13. 13.Vivaan’s father is three times as old as Vivaan. The sum of their ages is 24 years. How old is the father?
  14. 14.6 years ago, Kabir’s mother was four times as old as Kabir. The mother is 18 years old now. How old is Kabir now?
  15. 15.Karan’s father is five times as old as Karan. The sum of their ages is 54 years. How old is the father?
  16. 16.Arjun’s father is three times as old as Arjun. The sum of their ages is 60 years. How old is Arjun?
  17. 17.Kabir’s father is three times as old as Kabir. The sum of their ages is 32 years. How old is the father?
  18. 18.In 22 years, Aarav will be three times as old as Aarav was 2 years ago. How old is Aarav now?
  19. 19.Rahul’s father is four times as old as Rahul. The sum of their ages is 30 years. How old is Rahul?
  20. 20.Diya is 9 years older than Zoya. In 10 years, the sum of their ages will be 89. How old is Zoya now?
  21. 21.Tara’s father is four times as old as Tara. The sum of their ages is 25 years. How old is Tara?
  22. 22.Aarav is 3 years older than Manav. In 9 years, the sum of their ages will be 65. How old is Manav now?
  23. 23.7 years ago, Diya’s mother was four times as old as Diya. The mother is 39 years old now. How old is Diya now?
  24. 24.In 28 years, Saanvi will be twice as old as Saanvi was 2 years ago. How old is Saanvi now?
  25. 25.6 years ago, Vivaan’s mother was four times as old as Vivaan. The mother is 54 years old now. How old is Vivaan now?
  26. 26.Zoya is 10 years older than Aarav. In 5 years, the sum of their ages will be 48. How old is Aarav now?
  27. 27.Farhan’s father is three times as old as Farhan. The sum of their ages is 24 years. How old is Farhan?
  28. 28.Saanvi is 5 years older than Nisha. In 3 years, the sum of their ages will be 41. How old is Nisha now?
  29. 29.Rohan’s father is four times as old as Rohan. The sum of their ages is 75 years. How old is Rohan?
  30. 30.8 years ago, Kavya’s mother was four times as old as Kavya. The mother is 44 years old now. How old is Kavya now?
  31. 31.Rahul’s father is four times as old as Rahul. The sum of their ages is 70 years. How old is the father?
  32. 32.4 years ago, Pooja’s mother was four times as old as Pooja. The mother is 44 years old now. How old is Pooja now?
  33. 33.In 14 years, Nisha will be twice as old as Nisha was 2 years ago. How old is Nisha now?
  34. 34.In 22 years, Nisha will be twice as old as Nisha was 3 years ago. How old is Nisha now?
  35. 35.Pooja is 4 years older than Ananya. In 7 years, the sum of their ages will be 64. How old is Ananya now?
  36. 36.Aditya is 2 years older than Vivaan. In 9 years, the sum of their ages will be 50. How old is Vivaan now?
  37. 37.Nisha’s father is twice as old as Nisha. The sum of their ages is 21 years. How old is Nisha?
  38. 38.Ishaan is 7 years older than Manav. In 8 years, the sum of their ages will be 53. How old is Manav now?
  39. 39.Karan is 8 years older than Saanvi. In 9 years, the sum of their ages will be 42. How old is Saanvi now?
  40. 40.Ishaan is 5 years older than Isha. In 6 years, the sum of their ages will be 71. How old is Isha now?

Answer key

  1. 11
  2. 9
  3. 26
  4. 36
  5. 20
  6. 20
  7. 29
  8. 8
  9. 6
  10. 14
  11. 24
  12. 30
  13. 18
  14. 9
  15. 45
  16. 15
  17. 24
  18. 14
  19. 6
  20. 30
  21. 5
  22. 22
  23. 15
  24. 32
  25. 18
  26. 14
  27. 6
  28. 15
  29. 15
  30. 17
  31. 56
  32. 14
  33. 18
  34. 28
  35. 23
  36. 15
  37. 7
  38. 15
  39. 8
  40. 27

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