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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 849 · 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.Aditya’s father is five times as old as Aditya. The sum of their ages is 66 years. How old is Aditya?
  2. 2.8 years ago, Arjun’s mother was four times as old as Arjun. The mother is 20 years old now. How old is Arjun now?
  3. 3.In 23 years, Rohan will be twice as old as Rohan was 2 years ago. How old is Rohan now?
  4. 4.Priya’s father is five times as old as Priya. The sum of their ages is 36 years. How old is the father?
  5. 5.In 5 years, Diya will be twice as old as Diya was 2 years ago. How old is Diya now?
  6. 6.Meera is 4 years older than Farhan. In 2 years, the sum of their ages will be 24. How old is Farhan now?
  7. 7.Diya’s father is three times as old as Diya. The sum of their ages is 24 years. How old is the father?
  8. 8.Sneha is 5 years older than Meera. In 10 years, the sum of their ages will be 51. How old is Meera now?
  9. 9.Pooja is 3 years older than Aarav. In 3 years, the sum of their ages will be 51. How old is Aarav now?
  10. 10.Manav is 9 years older than Nisha. In 7 years, the sum of their ages will be 53. How old is Nisha now?
  11. 11.Rohan’s father is twice as old as Rohan. The sum of their ages is 18 years. How old is Rohan?
  12. 12.Saanvi is 7 years older than Pooja. In 4 years, the sum of their ages will be 63. How old is Pooja now?
  13. 13.Tara’s father is twice as old as Tara. The sum of their ages is 42 years. How old is the father?
  14. 14.Ananya’s father is four times as old as Ananya. The sum of their ages is 50 years. How old is Ananya?
  15. 15.Rohan is 9 years older than Zoya. In 8 years, the sum of their ages will be 39. How old is Zoya now?
  16. 16.In 2 years, Aarav will be twice as old as Aarav was 5 years ago. How old is Aarav now?
  17. 17.5 years ago, Nisha’s mother was three times as old as Nisha. The mother is 38 years old now. How old is Nisha now?
  18. 18.8 years ago, Priya’s mother was four times as old as Priya. The mother is 24 years old now. How old is Priya now?
  19. 19.Tara’s father is four times as old as Tara. The sum of their ages is 30 years. How old is the father?
  20. 20.Priya is 7 years older than Aarav. In 5 years, the sum of their ages will be 29. How old is Aarav now?
  21. 21.6 years ago, Aarav’s mother was three times as old as Aarav. The mother is 39 years old now. How old is Aarav now?
  22. 22.5 years ago, Kabir’s mother was four times as old as Kabir. The mother is 17 years old now. How old is Kabir now?
  23. 23.4 years ago, Zoya’s mother was four times as old as Zoya. The mother is 36 years old now. How old is Zoya now?
  24. 24.2 years ago, Ananya’s mother was four times as old as Ananya. The mother is 46 years old now. How old is Ananya now?
  25. 25.Rohan’s father is five times as old as Rohan. The sum of their ages is 84 years. How old is Rohan?
  26. 26.Karan’s father is five times as old as Karan. The sum of their ages is 84 years. How old is Karan?
  27. 27.7 years ago, Kabir’s mother was four times as old as Kabir. The mother is 55 years old now. How old is Kabir now?
  28. 28.Isha is 4 years older than Ananya. In 8 years, the sum of their ages will be 50. How old is Ananya now?
  29. 29.In 10 years, Priya will be three times as old as Priya was 4 years ago. How old is Priya now?
  30. 30.Aditya is 7 years older than Kavya. In 8 years, the sum of their ages will be 55. How old is Kavya now?
  31. 31.3 years ago, Aarav’s mother was four times as old as Aarav. The mother is 27 years old now. How old is Aarav now?
  32. 32.8 years ago, Diya’s mother was twice as old as Diya. The mother is 18 years old now. How old is Diya now?
  33. 33.Rahul is 9 years older than Tara. In 2 years, the sum of their ages will be 33. How old is Tara now?
  34. 34.Ishaan is 6 years older than Manav. In 4 years, the sum of their ages will be 62. How old is Manav now?
  35. 35.3 years ago, Kabir’s mother was twice as old as Kabir. The mother is 19 years old now. How old is Kabir now?
  36. 36.3 years ago, Kabir’s mother was four times as old as Kabir. The mother is 27 years old now. How old is Kabir now?
  37. 37.5 years ago, Zoya’s mother was three times as old as Zoya. The mother is 14 years old now. How old is Zoya now?
  38. 38.Tara’s father is three times as old as Tara. The sum of their ages is 44 years. How old is the father?
  39. 39.In 6 years, Arjun will be twice as old as Arjun was 5 years ago. How old is Arjun now?
  40. 40.4 years ago, Ishaan’s mother was twice as old as Ishaan. The mother is 24 years old now. How old is Ishaan now?

Answer key

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

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