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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 174 · 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.Diya’s father is five times as old as Diya. The sum of their ages is 90 years. How old is Diya?
  2. 2.8 years ago, Pooja’s mother was three times as old as Pooja. The mother is 29 years old now. How old is Pooja now?
  3. 3.10 years ago, Karan’s mother was three times as old as Karan. The mother is 19 years old now. How old is Karan now?
  4. 4.Tara’s father is five times as old as Tara. The sum of their ages is 42 years. How old is Tara?
  5. 5.Pooja’s father is three times as old as Pooja. The sum of their ages is 52 years. How old is the father?
  6. 6.Isha’s father is twice as old as Isha. The sum of their ages is 18 years. How old is Isha?
  7. 7.Aarav is 2 years older than Sneha. In 7 years, the sum of their ages will be 72. How old is Sneha now?
  8. 8.Arjun’s father is twice as old as Arjun. The sum of their ages is 24 years. How old is Arjun?
  9. 9.9 years ago, Manav’s mother was three times as old as Manav. The mother is 27 years old now. How old is Manav now?
  10. 10.Rahul is 7 years older than Kabir. In 5 years, the sum of their ages will be 37. How old is Kabir now?
  11. 11.Isha’s father is twice as old as Isha. The sum of their ages is 15 years. How old is the father?
  12. 12.Diya’s father is twice as old as Diya. The sum of their ages is 45 years. How old is the father?
  13. 13.Rohan is 3 years older than Aditya. In 8 years, the sum of their ages will be 67. How old is Aditya now?
  14. 14.Tara is 3 years older than Aarav. In 5 years, the sum of their ages will be 35. How old is Aarav now?
  15. 15.Zoya’s father is twice as old as Zoya. The sum of their ages is 36 years. How old is Zoya?
  16. 16.Meera’s father is three times as old as Meera. The sum of their ages is 60 years. How old is Meera?
  17. 17.Rohan’s father is three times as old as Rohan. The sum of their ages is 44 years. How old is the father?
  18. 18.Arjun’s father is four times as old as Arjun. The sum of their ages is 35 years. How old is Arjun?
  19. 19.4 years ago, Diya’s mother was twice as old as Diya. The mother is 12 years old now. How old is Diya now?
  20. 20.Pooja is 2 years older than Manav. In 2 years, the sum of their ages will be 42. How old is Manav now?
  21. 21.Manav’s father is three times as old as Manav. The sum of their ages is 40 years. How old is the father?
  22. 22.Rahul’s father is four times as old as Rahul. The sum of their ages is 65 years. How old is Rahul?
  23. 23.In 18 years, Vivaan will be three times as old as Vivaan was 6 years ago. How old is Vivaan now?
  24. 24.Farhan’s father is five times as old as Farhan. The sum of their ages is 90 years. How old is the father?
  25. 25.In 20 years, Kabir will be twice as old as Kabir was 4 years ago. How old is Kabir now?
  26. 26.Aarav is 3 years older than Ishaan. In 9 years, the sum of their ages will be 69. How old is Ishaan now?
  27. 27.Vivaan is 2 years older than Ishaan. In 10 years, the sum of their ages will be 34. How old is Ishaan now?
  28. 28.In 9 years, Priya will be twice as old as Priya was 2 years ago. How old is Priya now?
  29. 29.Karan is 8 years older than Diya. In 6 years, the sum of their ages will be 64. How old is Diya now?
  30. 30.In 19 years, Meera will be three times as old as Meera was 5 years ago. How old is Meera now?
  31. 31.Pooja’s father is twice as old as Pooja. The sum of their ages is 30 years. How old is the father?
  32. 32.Karan is 2 years older than Aarav. In 6 years, the sum of their ages will be 28. How old is Aarav now?
  33. 33.Pooja is 5 years older than Karan. In 9 years, the sum of their ages will be 65. How old is Karan now?
  34. 34.6 years ago, Zoya’s mother was three times as old as Zoya. The mother is 39 years old now. How old is Zoya now?
  35. 35.Aarav’s father is twice as old as Aarav. The sum of their ages is 21 years. How old is the father?
  36. 36.8 years ago, Farhan’s mother was twice as old as Farhan. The mother is 24 years old now. How old is Farhan now?
  37. 37.Ishaan is 10 years older than Tara. In 8 years, the sum of their ages will be 58. How old is Tara now?
  38. 38.Tara is 8 years older than Isha. In 3 years, the sum of their ages will be 28. How old is Isha now?
  39. 39.In 25 years, Ananya will be twice as old as Ananya was 4 years ago. How old is Ananya now?
  40. 40.Ishaan’s father is four times as old as Ishaan. The sum of their ages is 70 years. How old is Ishaan?

Answer key

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

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