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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 108 · 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.Vivaan is 7 years older than Zoya. In 6 years, the sum of their ages will be 79. How old is Zoya now?
  2. 2.Kavya’s father is twice as old as Kavya. The sum of their ages is 36 years. How old is the father?
  3. 3.Diya’s father is twice as old as Diya. The sum of their ages is 45 years. How old is the father?
  4. 4.In 28 years, Diya will be three times as old as Diya was 4 years ago. How old is Diya now?
  5. 5.Manav is 8 years older than Arjun. In 10 years, the sum of their ages will be 76. How old is Arjun now?
  6. 6.7 years ago, Manav’s mother was three times as old as Manav. The mother is 34 years old now. How old is Manav now?
  7. 7.In 12 years, Farhan will be twice as old as Farhan was 5 years ago. How old is Farhan now?
  8. 8.Arjun is 3 years older than Meera. In 4 years, the sum of their ages will be 61. How old is Meera now?
  9. 9.Karan’s father is four times as old as Karan. The sum of their ages is 35 years. How old is the father?
  10. 10.10 years ago, Aditya’s mother was four times as old as Aditya. The mother is 46 years old now. How old is Aditya now?
  11. 11.In 26 years, Diya will be twice as old as Diya was 4 years ago. How old is Diya now?
  12. 12.3 years ago, Karan’s mother was three times as old as Karan. The mother is 36 years old now. How old is Karan now?
  13. 13.Farhan’s father is twice as old as Farhan. The sum of their ages is 39 years. How old is the father?
  14. 14.4 years ago, Tara’s mother was twice as old as Tara. The mother is 10 years old now. How old is Tara now?
  15. 15.Saanvi’s father is twice as old as Saanvi. The sum of their ages is 21 years. How old is the father?
  16. 16.Manav is 5 years older than Ananya. In 3 years, the sum of their ages will be 47. How old is Ananya now?
  17. 17.Nisha’s father is three times as old as Nisha. The sum of their ages is 20 years. How old is Nisha?
  18. 18.6 years ago, Zoya’s mother was twice as old as Zoya. The mother is 20 years old now. How old is Zoya now?
  19. 19.2 years ago, Aarav’s mother was twice as old as Aarav. The mother is 8 years old now. How old is Aarav now?
  20. 20.Rohan is 7 years older than Sneha. In 7 years, the sum of their ages will be 37. How old is Sneha now?
  21. 21.Rohan’s father is twice as old as Rohan. The sum of their ages is 42 years. How old is the father?
  22. 22.7 years ago, Ishaan’s mother was three times as old as Ishaan. The mother is 16 years old now. How old is Ishaan now?
  23. 23.Rahul is 9 years older than Tara. In 7 years, the sum of their ages will be 67. How old is Tara now?
  24. 24.Arjun’s father is five times as old as Arjun. The sum of their ages is 72 years. How old is the father?
  25. 25.Zoya is 9 years older than Aditya. In 7 years, the sum of their ages will be 57. How old is Aditya now?
  26. 26.Saanvi’s father is four times as old as Saanvi. The sum of their ages is 75 years. How old is the father?
  27. 27.4 years ago, Tara’s mother was three times as old as Tara. The mother is 19 years old now. How old is Tara now?
  28. 28.Ananya is 10 years older than Arjun. In 9 years, the sum of their ages will be 80. How old is Arjun now?
  29. 29.Nisha is 2 years older than Pooja. In 7 years, the sum of their ages will be 66. How old is Pooja now?
  30. 30.Meera is 2 years older than Arjun. In 4 years, the sum of their ages will be 26. How old is Arjun now?
  31. 31.In 26 years, Aarav will be twice as old as Aarav was 4 years ago. How old is Aarav now?
  32. 32.Ishaan’s father is four times as old as Ishaan. The sum of their ages is 30 years. How old is the father?
  33. 33.In 19 years, Isha will be twice as old as Isha was 3 years ago. How old is Isha now?
  34. 34.4 years ago, Kavya’s mother was four times as old as Kavya. The mother is 52 years old now. How old is Kavya now?
  35. 35.In 20 years, Pooja will be twice as old as Pooja was 3 years ago. How old is Pooja now?
  36. 36.Rohan’s father is twice as old as Rohan. The sum of their ages is 18 years. How old is the father?
  37. 37.In 19 years, Diya will be twice as old as Diya was 5 years ago. How old is Diya now?
  38. 38.Priya’s father is five times as old as Priya. The sum of their ages is 54 years. How old is the father?
  39. 39.5 years ago, Pooja’s mother was twice as old as Pooja. The mother is 15 years old now. How old is Pooja now?
  40. 40.Manav is 8 years older than Karan. In 4 years, the sum of their ages will be 40. How old is Karan now?

Answer key

  1. 30
  2. 24
  3. 30
  4. 20
  5. 24
  6. 16
  7. 22
  8. 25
  9. 28
  10. 19
  11. 34
  12. 14
  13. 26
  14. 7
  15. 14
  16. 18
  17. 5
  18. 13
  19. 5
  20. 8
  21. 28
  22. 10
  23. 22
  24. 60
  25. 17
  26. 60
  27. 9
  28. 26
  29. 25
  30. 8
  31. 34
  32. 24
  33. 25
  34. 16
  35. 26
  36. 12
  37. 29
  38. 45
  39. 10
  40. 12

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