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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 473 · 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 55 years. How old is the father?
  2. 2.10 years ago, Rahul’s mother was three times as old as Rahul. The mother is 43 years old now. How old is Rahul now?
  3. 3.In 7 years, Dev will be twice as old as Dev was 5 years ago. How old is Dev now?
  4. 4.7 years ago, Tara’s mother was twice as old as Tara. The mother is 27 years old now. How old is Tara now?
  5. 5.10 years ago, Vivaan’s mother was twice as old as Vivaan. The mother is 18 years old now. How old is Vivaan now?
  6. 6.Aarav’s father is three times as old as Aarav. The sum of their ages is 28 years. How old is Aarav?
  7. 7.2 years ago, Farhan’s mother was twice as old as Farhan. The mother is 14 years old now. How old is Farhan now?
  8. 8.Arjun’s father is four times as old as Arjun. The sum of their ages is 75 years. How old is the father?
  9. 9.5 years ago, Kabir’s mother was four times as old as Kabir. The mother is 37 years old now. How old is Kabir now?
  10. 10.Manav is 9 years older than Karan. In 4 years, the sum of their ages will be 57. How old is Karan now?
  11. 11.3 years ago, Dev’s mother was four times as old as Dev. The mother is 19 years old now. How old is Dev now?
  12. 12.In 27 years, Manav will be twice as old as Manav was 4 years ago. How old is Manav now?
  13. 13.Aditya’s father is four times as old as Aditya. The sum of their ages is 40 years. How old is Aditya?
  14. 14.In 14 years, Saanvi will be three times as old as Saanvi was 2 years ago. How old is Saanvi now?
  15. 15.Vivaan is 3 years older than Kabir. In 9 years, the sum of their ages will be 35. How old is Kabir now?
  16. 16.Priya’s father is twice as old as Priya. The sum of their ages is 24 years. How old is the father?
  17. 17.In 27 years, Aarav will be twice as old as Aarav was 3 years ago. How old is Aarav now?
  18. 18.In 22 years, Meera will be three times as old as Meera was 4 years ago. How old is Meera now?
  19. 19.Rahul’s father is four times as old as Rahul. The sum of their ages is 75 years. How old is Rahul?
  20. 20.6 years ago, Ishaan’s mother was twice as old as Ishaan. The mother is 18 years old now. How old is Ishaan now?
  21. 21.In 24 years, Kabir will be three times as old as Kabir was 2 years ago. How old is Kabir now?
  22. 22.Kabir is 9 years older than Arjun. In 6 years, the sum of their ages will be 67. How old is Arjun now?
  23. 23.Nisha is 9 years older than Aditya. In 3 years, the sum of their ages will be 75. How old is Aditya now?
  24. 24.Sneha is 9 years older than Priya. In 8 years, the sum of their ages will be 49. How old is Priya now?
  25. 25.2 years ago, Kavya’s mother was twice as old as Kavya. The mother is 16 years old now. How old is Kavya now?
  26. 26.In 7 years, Manav will be twice as old as Manav was 6 years ago. How old is Manav now?
  27. 27.Nisha’s father is five times as old as Nisha. The sum of their ages is 30 years. How old is Nisha?
  28. 28.Aditya’s father is five times as old as Aditya. The sum of their ages is 30 years. How old is Aditya?
  29. 29.Kavya’s father is twice as old as Kavya. The sum of their ages is 42 years. How old is Kavya?
  30. 30.8 years ago, Diya’s mother was four times as old as Diya. The mother is 20 years old now. How old is Diya now?
  31. 31.In 4 years, Meera will be three times as old as Meera was 4 years ago. How old is Meera now?
  32. 32.Nisha’s father is five times as old as Nisha. The sum of their ages is 84 years. How old is the father?
  33. 33.Ananya’s father is four times as old as Ananya. The sum of their ages is 70 years. How old is the father?
  34. 34.Farhan is 3 years older than Rahul. In 4 years, the sum of their ages will be 71. How old is Rahul now?
  35. 35.Nisha’s father is four times as old as Nisha. The sum of their ages is 40 years. How old is Nisha?
  36. 36.2 years ago, Vivaan’s mother was four times as old as Vivaan. The mother is 18 years old now. How old is Vivaan now?
  37. 37.Aditya’s father is five times as old as Aditya. The sum of their ages is 60 years. How old is the father?
  38. 38.Farhan is 5 years older than Zoya. In 7 years, the sum of their ages will be 75. How old is Zoya now?
  39. 39.Karan’s father is three times as old as Karan. The sum of their ages is 28 years. How old is Karan?
  40. 40.In 11 years, Isha will be three times as old as Isha was 3 years ago. How old is Isha now?

Answer key

  1. 44
  2. 21
  3. 17
  4. 17
  5. 14
  6. 7
  7. 8
  8. 60
  9. 13
  10. 20
  11. 7
  12. 35
  13. 8
  14. 10
  15. 7
  16. 16
  17. 33
  18. 17
  19. 15
  20. 12
  21. 15
  22. 23
  23. 30
  24. 12
  25. 9
  26. 19
  27. 5
  28. 5
  29. 14
  30. 11
  31. 8
  32. 70
  33. 56
  34. 30
  35. 8
  36. 6
  37. 50
  38. 28
  39. 7
  40. 10

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