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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 708 · 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.Aarav’s father is five times as old as Aarav. The sum of their ages is 72 years. How old is Aarav?
  2. 2.In 28 years, Kabir will be twice as old as Kabir was 6 years ago. How old is Kabir now?
  3. 3.In 29 years, Aarav will be twice as old as Aarav was 3 years ago. How old is Aarav now?
  4. 4.Pooja is 7 years older than Diya. In 9 years, the sum of their ages will be 53. How old is Diya now?
  5. 5.Tara’s father is five times as old as Tara. The sum of their ages is 66 years. How old is the father?
  6. 6.2 years ago, Manav’s mother was four times as old as Manav. The mother is 38 years old now. How old is Manav now?
  7. 7.10 years ago, Tara’s mother was three times as old as Tara. The mother is 19 years old now. How old is Tara now?
  8. 8.3 years ago, Ananya’s mother was twice as old as Ananya. The mother is 19 years old now. How old is Ananya now?
  9. 9.Aditya’s father is three times as old as Aditya. The sum of their ages is 52 years. How old is Aditya?
  10. 10.9 years ago, Dev’s mother was four times as old as Dev. The mother is 57 years old now. How old is Dev now?
  11. 11.4 years ago, Sneha’s mother was four times as old as Sneha. The mother is 40 years old now. How old is Sneha now?
  12. 12.In 15 years, Zoya will be twice as old as Zoya was 6 years ago. How old is Zoya now?
  13. 13.Priya’s father is five times as old as Priya. The sum of their ages is 78 years. How old is Priya?
  14. 14.8 years ago, Aarav’s mother was twice as old as Aarav. The mother is 18 years old now. How old is Aarav now?
  15. 15.In 30 years, Isha will be twice as old as Isha was 5 years ago. How old is Isha now?
  16. 16.2 years ago, Zoya’s mother was three times as old as Zoya. The mother is 11 years old now. How old is Zoya now?
  17. 17.Diya is 8 years older than Nisha. In 4 years, the sum of their ages will be 74. How old is Nisha now?
  18. 18.Diya is 8 years older than Tara. In 2 years, the sum of their ages will be 30. How old is Tara now?
  19. 19.In 3 years, Karan will be twice as old as Karan was 4 years ago. How old is Karan now?
  20. 20.10 years ago, Ishaan’s mother was four times as old as Ishaan. The mother is 22 years old now. How old is Ishaan now?
  21. 21.Kavya is 5 years older than Ananya. In 5 years, the sum of their ages will be 71. How old is Ananya now?
  22. 22.In 6 years, Meera will be three times as old as Meera was 4 years ago. How old is Meera now?
  23. 23.5 years ago, Pooja’s mother was three times as old as Pooja. The mother is 26 years old now. How old is Pooja now?
  24. 24.In 20 years, Sneha will be twice as old as Sneha was 4 years ago. How old is Sneha now?
  25. 25.Meera’s father is four times as old as Meera. The sum of their ages is 25 years. How old is the father?
  26. 26.In 30 years, Aditya will be three times as old as Aditya was 2 years ago. How old is Aditya now?
  27. 27.Manav is 8 years older than Diya. In 7 years, the sum of their ages will be 42. How old is Diya now?
  28. 28.Rohan’s father is twice as old as Rohan. The sum of their ages is 15 years. How old is Rohan?
  29. 29.5 years ago, Farhan’s mother was twice as old as Farhan. The mother is 11 years old now. How old is Farhan now?
  30. 30.7 years ago, Isha’s mother was four times as old as Isha. The mother is 27 years old now. How old is Isha now?
  31. 31.In 9 years, Arjun will be three times as old as Arjun was 3 years ago. How old is Arjun now?
  32. 32.Kabir’s father is five times as old as Kabir. The sum of their ages is 30 years. How old is the father?
  33. 33.In 13 years, Rahul will be twice as old as Rahul was 4 years ago. How old is Rahul now?
  34. 34.In 7 years, Aarav will be twice as old as Aarav was 2 years ago. How old is Aarav now?
  35. 35.In 2 years, Nisha will be twice as old as Nisha was 5 years ago. How old is Nisha now?
  36. 36.3 years ago, Zoya’s mother was three times as old as Zoya. The mother is 33 years old now. How old is Zoya now?
  37. 37.Saanvi’s father is three times as old as Saanvi. The sum of their ages is 52 years. How old is the father?
  38. 38.Dev is 4 years older than Diya. In 9 years, the sum of their ages will be 74. How old is Diya now?
  39. 39.Aarav is 7 years older than Farhan. In 3 years, the sum of their ages will be 67. How old is Farhan now?
  40. 40.4 years ago, Dev’s mother was four times as old as Dev. The mother is 16 years old now. How old is Dev now?

Answer key

  1. 12
  2. 40
  3. 35
  4. 14
  5. 55
  6. 11
  7. 13
  8. 11
  9. 13
  10. 21
  11. 13
  12. 27
  13. 13
  14. 13
  15. 40
  16. 5
  17. 29
  18. 9
  19. 11
  20. 13
  21. 28
  22. 9
  23. 12
  24. 28
  25. 20
  26. 18
  27. 10
  28. 5
  29. 8
  30. 12
  31. 9
  32. 25
  33. 21
  34. 11
  35. 12
  36. 13
  37. 39
  38. 26
  39. 27
  40. 7

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