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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 208 · 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.Ishaan’s father is four times as old as Ishaan. The sum of their ages is 30 years. How old is Ishaan?
  2. 2.Diya’s father is three times as old as Diya. The sum of their ages is 32 years. How old is the father?
  3. 3.Rohan’s father is five times as old as Rohan. The sum of their ages is 72 years. How old is Rohan?
  4. 4.Ishaan is 3 years older than Priya. In 2 years, the sum of their ages will be 45. How old is Priya now?
  5. 5.Ishaan’s father is twice as old as Ishaan. The sum of their ages is 18 years. How old is the father?
  6. 6.Saanvi’s father is four times as old as Saanvi. The sum of their ages is 70 years. How old is Saanvi?
  7. 7.In 8 years, Priya will be twice as old as Priya was 2 years ago. How old is Priya now?
  8. 8.Isha’s father is three times as old as Isha. The sum of their ages is 32 years. How old is the father?
  9. 9.Aditya’s father is five times as old as Aditya. The sum of their ages is 84 years. How old is Aditya?
  10. 10.10 years ago, Kabir’s mother was three times as old as Kabir. The mother is 46 years old now. How old is Kabir now?
  11. 11.Rohan is 8 years older than Isha. In 2 years, the sum of their ages will be 38. How old is Isha now?
  12. 12.6 years ago, Ishaan’s mother was three times as old as Ishaan. The mother is 36 years old now. How old is Ishaan now?
  13. 13.3 years ago, Vivaan’s mother was twice as old as Vivaan. The mother is 25 years old now. How old is Vivaan now?
  14. 14.4 years ago, Ishaan’s mother was four times as old as Ishaan. The mother is 16 years old now. How old is Ishaan now?
  15. 15.8 years ago, Ananya’s mother was four times as old as Ananya. The mother is 40 years old now. How old is Ananya now?
  16. 16.In 18 years, Meera will be three times as old as Meera was 6 years ago. How old is Meera now?
  17. 17.Meera is 10 years older than Manav. In 7 years, the sum of their ages will be 84. How old is Manav now?
  18. 18.Aarav’s father is three times as old as Aarav. The sum of their ages is 40 years. How old is the father?
  19. 19.Kabir’s father is three times as old as Kabir. The sum of their ages is 36 years. How old is Kabir?
  20. 20.Pooja is 5 years older than Diya. In 2 years, the sum of their ages will be 41. How old is Diya now?
  21. 21.Farhan is 4 years older than Meera. In 3 years, the sum of their ages will be 64. How old is Meera now?
  22. 22.Rohan’s father is four times as old as Rohan. The sum of their ages is 60 years. How old is the father?
  23. 23.3 years ago, Pooja’s mother was three times as old as Pooja. The mother is 12 years old now. How old is Pooja now?
  24. 24.9 years ago, Rahul’s mother was twice as old as Rahul. The mother is 29 years old now. How old is Rahul now?
  25. 25.3 years ago, Arjun’s mother was three times as old as Arjun. The mother is 27 years old now. How old is Arjun now?
  26. 26.Zoya’s father is twice as old as Zoya. The sum of their ages is 21 years. How old is the father?
  27. 27.Tara’s father is five times as old as Tara. The sum of their ages is 42 years. How old is Tara?
  28. 28.Nisha’s father is five times as old as Nisha. The sum of their ages is 60 years. How old is Nisha?
  29. 29.4 years ago, Ananya’s mother was twice as old as Ananya. The mother is 20 years old now. How old is Ananya now?
  30. 30.Farhan is 4 years older than Dev. In 2 years, the sum of their ages will be 50. How old is Dev now?
  31. 31.Aditya is 8 years older than Nisha. In 7 years, the sum of their ages will be 44. How old is Nisha now?
  32. 32.3 years ago, Dev’s mother was twice as old as Dev. The mother is 21 years old now. How old is Dev now?
  33. 33.Arjun is 4 years older than Aditya. In 5 years, the sum of their ages will be 44. How old is Aditya now?
  34. 34.Kavya is 7 years older than Meera. In 3 years, the sum of their ages will be 71. How old is Meera now?
  35. 35.Ishaan is 6 years older than Rohan. In 3 years, the sum of their ages will be 34. How old is Rohan now?
  36. 36.Aarav’s father is five times as old as Aarav. The sum of their ages is 36 years. How old is the father?
  37. 37.In 5 years, Dev will be twice as old as Dev was 3 years ago. How old is Dev now?
  38. 38.Zoya’s father is five times as old as Zoya. The sum of their ages is 36 years. How old is Zoya?
  39. 39.In 8 years, Rohan will be three times as old as Rohan was 4 years ago. How old is Rohan now?
  40. 40.10 years ago, Kavya’s mother was twice as old as Kavya. The mother is 30 years old now. How old is Kavya now?

Answer key

  1. 6
  2. 24
  3. 12
  4. 19
  5. 12
  6. 14
  7. 12
  8. 24
  9. 14
  10. 22
  11. 13
  12. 16
  13. 14
  14. 7
  15. 16
  16. 18
  17. 30
  18. 30
  19. 9
  20. 16
  21. 27
  22. 48
  23. 6
  24. 19
  25. 11
  26. 14
  27. 7
  28. 10
  29. 12
  30. 21
  31. 11
  32. 12
  33. 15
  34. 29
  35. 11
  36. 30
  37. 11
  38. 6
  39. 10
  40. 20

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