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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 946 · 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.Arjun’s father is three times as old as Arjun. The sum of their ages is 36 years. How old is Arjun?
  2. 2.Vivaan’s father is twice as old as Vivaan. The sum of their ages is 45 years. How old is Vivaan?
  3. 3.In 27 years, Rahul will be twice as old as Rahul was 5 years ago. How old is Rahul now?
  4. 4.5 years ago, Kabir’s mother was four times as old as Kabir. The mother is 25 years old now. How old is Kabir now?
  5. 5.In 6 years, Dev will be twice as old as Dev was 6 years ago. How old is Dev now?
  6. 6.In 14 years, Diya will be three times as old as Diya was 2 years ago. How old is Diya now?
  7. 7.7 years ago, Aditya’s mother was twice as old as Aditya. The mother is 31 years old now. How old is Aditya now?
  8. 8.4 years ago, Ananya’s mother was three times as old as Ananya. The mother is 16 years old now. How old is Ananya now?
  9. 9.7 years ago, Meera’s mother was three times as old as Meera. The mother is 34 years old now. How old is Meera now?
  10. 10.In 23 years, Priya will be twice as old as Priya was 3 years ago. How old is Priya now?
  11. 11.3 years ago, Pooja’s mother was three times as old as Pooja. The mother is 15 years old now. How old is Pooja now?
  12. 12.Meera is 6 years older than Kavya. In 6 years, the sum of their ages will be 40. How old is Kavya now?
  13. 13.Diya is 8 years older than Manav. In 7 years, the sum of their ages will be 50. How old is Manav now?
  14. 14.In 27 years, Diya will be twice as old as Diya was 2 years ago. How old is Diya now?
  15. 15.Nisha’s father is twice as old as Nisha. The sum of their ages is 42 years. How old is the father?
  16. 16.In 11 years, Sneha will be twice as old as Sneha was 3 years ago. How old is Sneha now?
  17. 17.10 years ago, Aarav’s mother was four times as old as Aarav. The mother is 50 years old now. How old is Aarav now?
  18. 18.Kabir is 4 years older than Nisha. In 9 years, the sum of their ages will be 50. How old is Nisha now?
  19. 19.Rohan is 3 years older than Vivaan. In 9 years, the sum of their ages will be 73. How old is Vivaan now?
  20. 20.Rahul’s father is five times as old as Rahul. The sum of their ages is 78 years. How old is Rahul?
  21. 21.In 20 years, Priya will be twice as old as Priya was 6 years ago. How old is Priya now?
  22. 22.Arjun is 8 years older than Nisha. In 10 years, the sum of their ages will be 88. How old is Nisha now?
  23. 23.Meera is 4 years older than Aarav. In 7 years, the sum of their ages will be 54. How old is Aarav now?
  24. 24.Sneha’s father is twice as old as Sneha. The sum of their ages is 36 years. How old is Sneha?
  25. 25.In 28 years, Farhan will be twice as old as Farhan was 3 years ago. How old is Farhan now?
  26. 26.Farhan’s father is twice as old as Farhan. The sum of their ages is 30 years. How old is the father?
  27. 27.Meera is 8 years older than Diya. In 3 years, the sum of their ages will be 68. How old is Diya now?
  28. 28.Diya’s father is four times as old as Diya. The sum of their ages is 55 years. How old is Diya?
  29. 29.Aarav’s father is five times as old as Aarav. The sum of their ages is 78 years. How old is the father?
  30. 30.Vivaan’s father is four times as old as Vivaan. The sum of their ages is 25 years. How old is Vivaan?
  31. 31.2 years ago, Ishaan’s mother was twice as old as Ishaan. The mother is 18 years old now. How old is Ishaan now?
  32. 32.Arjun’s father is three times as old as Arjun. The sum of their ages is 28 years. How old is the father?
  33. 33.7 years ago, Dev’s mother was four times as old as Dev. The mother is 43 years old now. How old is Dev now?
  34. 34.In 30 years, Vivaan will be three times as old as Vivaan was 6 years ago. How old is Vivaan now?
  35. 35.Zoya is 2 years older than Diya. In 3 years, the sum of their ages will be 34. How old is Diya now?
  36. 36.Ishaan is 5 years older than Manav. In 7 years, the sum of their ages will be 29. How old is Manav now?
  37. 37.Ananya is 5 years older than Farhan. In 9 years, the sum of their ages will be 71. How old is Farhan now?
  38. 38.Rohan is 10 years older than Dev. In 7 years, the sum of their ages will be 38. How old is Dev now?
  39. 39.2 years ago, Priya’s mother was twice as old as Priya. The mother is 14 years old now. How old is Priya now?
  40. 40.Farhan is 7 years older than Dev. In 4 years, the sum of their ages will be 47. How old is Dev now?

Answer key

  1. 9
  2. 15
  3. 37
  4. 10
  5. 18
  6. 10
  7. 19
  8. 8
  9. 16
  10. 29
  11. 7
  12. 11
  13. 14
  14. 31
  15. 28
  16. 17
  17. 20
  18. 14
  19. 26
  20. 13
  21. 32
  22. 30
  23. 18
  24. 12
  25. 34
  26. 20
  27. 27
  28. 11
  29. 65
  30. 5
  31. 10
  32. 21
  33. 16
  34. 24
  35. 13
  36. 5
  37. 24
  38. 7
  39. 8
  40. 16

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