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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 2 · 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.In 16 years, Farhan will be twice as old as Farhan was 4 years ago. How old is Farhan now?
  2. 2.Farhan’s father is four times as old as Farhan. The sum of their ages is 45 years. How old is Farhan?
  3. 3.Tara’s father is four times as old as Tara. The sum of their ages is 30 years. How old is the father?
  4. 4.In 6 years, Aarav will be three times as old as Aarav was 4 years ago. How old is Aarav now?
  5. 5.Aarav is 4 years older than Arjun. In 7 years, the sum of their ages will be 44. How old is Arjun now?
  6. 6.In 23 years, Arjun will be twice as old as Arjun was 6 years ago. How old is Arjun now?
  7. 7.Kabir is 8 years older than Aditya. In 2 years, the sum of their ages will be 32. How old is Aditya now?
  8. 8.Meera is 6 years older than Aditya. In 5 years, the sum of their ages will be 42. How old is Aditya now?
  9. 9.2 years ago, Aditya’s mother was three times as old as Aditya. The mother is 29 years old now. How old is Aditya now?
  10. 10.5 years ago, Nisha’s mother was twice as old as Nisha. The mother is 19 years old now. How old is Nisha now?
  11. 11.Vivaan’s father is three times as old as Vivaan. The sum of their ages is 28 years. How old is the father?
  12. 12.In 5 years, Nisha will be twice as old as Nisha was 4 years ago. How old is Nisha now?
  13. 13.2 years ago, Karan’s mother was four times as old as Karan. The mother is 34 years old now. How old is Karan now?
  14. 14.In 11 years, Pooja will be twice as old as Pooja was 2 years ago. How old is Pooja now?
  15. 15.7 years ago, Vivaan’s mother was three times as old as Vivaan. The mother is 22 years old now. How old is Vivaan now?
  16. 16.Dev is 2 years older than Meera. In 2 years, the sum of their ages will be 46. How old is Meera now?
  17. 17.2 years ago, Kavya’s mother was four times as old as Kavya. The mother is 26 years old now. How old is Kavya now?
  18. 18.Farhan is 5 years older than Priya. In 3 years, the sum of their ages will be 55. How old is Priya now?
  19. 19.9 years ago, Kabir’s mother was four times as old as Kabir. The mother is 25 years old now. How old is Kabir now?
  20. 20.3 years ago, Aarav’s mother was three times as old as Aarav. The mother is 12 years old now. How old is Aarav now?
  21. 21.5 years ago, Ishaan’s mother was three times as old as Ishaan. The mother is 17 years old now. How old is Ishaan now?
  22. 22.In 12 years, Isha will be three times as old as Isha was 4 years ago. How old is Isha now?
  23. 23.Saanvi’s father is three times as old as Saanvi. The sum of their ages is 28 years. How old is the father?
  24. 24.Kabir’s father is five times as old as Kabir. The sum of their ages is 84 years. How old is the father?
  25. 25.Rohan is 3 years older than Priya. In 2 years, the sum of their ages will be 47. How old is Priya now?
  26. 26.8 years ago, Pooja’s mother was twice as old as Pooja. The mother is 22 years old now. How old is Pooja now?
  27. 27.Saanvi’s father is five times as old as Saanvi. The sum of their ages is 90 years. How old is the father?
  28. 28.In 21 years, Nisha will be three times as old as Nisha was 5 years ago. How old is Nisha now?
  29. 29.5 years ago, Kavya’s mother was twice as old as Kavya. The mother is 13 years old now. How old is Kavya now?
  30. 30.Priya’s father is four times as old as Priya. The sum of their ages is 45 years. How old is Priya?
  31. 31.Meera is 6 years older than Aditya. In 5 years, the sum of their ages will be 28. How old is Aditya now?
  32. 32.8 years ago, Kavya’s mother was four times as old as Kavya. The mother is 28 years old now. How old is Kavya now?
  33. 33.2 years ago, Manav’s mother was four times as old as Manav. The mother is 26 years old now. How old is Manav now?
  34. 34.Ishaan is 4 years older than Diya. In 4 years, the sum of their ages will be 72. How old is Diya now?
  35. 35.In 26 years, Karan will be three times as old as Karan was 6 years ago. How old is Karan now?
  36. 36.In 16 years, Dev will be twice as old as Dev was 6 years ago. How old is Dev now?
  37. 37.In 24 years, Diya will be twice as old as Diya was 5 years ago. How old is Diya now?
  38. 38.Farhan is 5 years older than Rohan. In 9 years, the sum of their ages will be 69. How old is Rohan now?
  39. 39.Ananya’s father is twice as old as Ananya. The sum of their ages is 24 years. How old is Ananya?
  40. 40.9 years ago, Pooja’s mother was three times as old as Pooja. The mother is 30 years old now. How old is Pooja now?

Answer key

  1. 24
  2. 9
  3. 24
  4. 9
  5. 13
  6. 35
  7. 10
  8. 13
  9. 11
  10. 12
  11. 21
  12. 13
  13. 10
  14. 15
  15. 12
  16. 20
  17. 8
  18. 22
  19. 13
  20. 6
  21. 9
  22. 12
  23. 21
  24. 70
  25. 20
  26. 15
  27. 75
  28. 18
  29. 9
  30. 9
  31. 6
  32. 13
  33. 8
  34. 30
  35. 22
  36. 28
  37. 34
  38. 23
  39. 8
  40. 16

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