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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 847 · 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.

NameDateTime takenScore ___ / 40
  1. 1.In 22 years, Diya will be twice as old as Diya was 4 years ago. How old is Diya now?
  2. 2.Diya’s father is five times as old as Diya. The sum of their ages is 72 years. How old is Diya?
  3. 3.Diya’s father is twice as old as Diya. The sum of their ages is 21 years. How old is the father?
  4. 4.Manav is 10 years older than Saanvi. In 8 years, the sum of their ages will be 80. How old is Saanvi now?
  5. 5.Karan’s father is four times as old as Karan. The sum of their ages is 70 years. How old is Karan?
  6. 6.Farhan is 8 years older than Kavya. In 5 years, the sum of their ages will be 62. How old is Kavya now?
  7. 7.Manav is 9 years older than Farhan. In 3 years, the sum of their ages will be 63. How old is Farhan now?
  8. 8.Arjun is 2 years older than Aarav. In 3 years, the sum of their ages will be 40. How old is Aarav now?
  9. 9.Aditya’s father is five times as old as Aditya. The sum of their ages is 78 years. How old is Aditya?
  10. 10.Kavya is 3 years older than Zoya. In 7 years, the sum of their ages will be 63. How old is Zoya now?
  11. 11.5 years ago, Tara’s mother was twice as old as Tara. The mother is 13 years old now. How old is Tara now?
  12. 12.Manav is 9 years older than Kabir. In 9 years, the sum of their ages will be 45. How old is Kabir now?
  13. 13.7 years ago, Rahul’s mother was twice as old as Rahul. The mother is 19 years old now. How old is Rahul now?
  14. 14.Zoya is 8 years older than Manav. In 2 years, the sum of their ages will be 58. How old is Manav now?
  15. 15.Rahul’s father is four times as old as Rahul. The sum of their ages is 55 years. How old is Rahul?
  16. 16.In 29 years, Priya will be three times as old as Priya was 3 years ago. How old is Priya now?
  17. 17.Dev’s father is five times as old as Dev. The sum of their ages is 84 years. How old is Dev?
  18. 18.In 24 years, Tara will be three times as old as Tara was 4 years ago. How old is Tara now?
  19. 19.In 12 years, Farhan will be twice as old as Farhan was 6 years ago. How old is Farhan now?
  20. 20.In 20 years, Isha will be twice as old as Isha was 3 years ago. How old is Isha now?
  21. 21.9 years ago, Vivaan’s mother was three times as old as Vivaan. The mother is 30 years old now. How old is Vivaan now?
  22. 22.Rohan’s father is five times as old as Rohan. The sum of their ages is 30 years. How old is Rohan?
  23. 23.In 18 years, Kabir will be twice as old as Kabir was 3 years ago. How old is Kabir now?
  24. 24.Farhan is 9 years older than Kabir. In 9 years, the sum of their ages will be 51. How old is Kabir now?
  25. 25.5 years ago, Ishaan’s mother was three times as old as Ishaan. The mother is 41 years old now. How old is Ishaan now?
  26. 26.Sneha is 9 years older than Diya. In 3 years, the sum of their ages will be 63. How old is Diya now?
  27. 27.Kabir’s father is twice as old as Kabir. The sum of their ages is 15 years. How old is the father?
  28. 28.Diya’s father is four times as old as Diya. The sum of their ages is 60 years. How old is Diya?
  29. 29.Rohan’s father is twice as old as Rohan. The sum of their ages is 33 years. How old is Rohan?
  30. 30.Karan is 2 years older than Ishaan. In 6 years, the sum of their ages will be 58. How old is Ishaan now?
  31. 31.5 years ago, Farhan’s mother was twice as old as Farhan. The mother is 19 years old now. How old is Farhan now?
  32. 32.Kabir is 3 years older than Isha. In 5 years, the sum of their ages will be 33. How old is Isha now?
  33. 33.9 years ago, Rohan’s mother was twice as old as Rohan. The mother is 15 years old now. How old is Rohan now?
  34. 34.Karan is 2 years older than Diya. In 8 years, the sum of their ages will be 34. How old is Diya now?
  35. 35.Kabir’s father is four times as old as Kabir. The sum of their ages is 25 years. How old is the father?
  36. 36.Aditya’s father is twice as old as Aditya. The sum of their ages is 24 years. How old is Aditya?
  37. 37.Zoya’s father is twice as old as Zoya. The sum of their ages is 21 years. How old is Zoya?
  38. 38.7 years ago, Diya’s mother was twice as old as Diya. The mother is 23 years old now. How old is Diya now?
  39. 39.In 24 years, Ananya will be twice as old as Ananya was 2 years ago. How old is Ananya now?
  40. 40.In 27 years, Diya will be twice as old as Diya was 4 years ago. How old is Diya now?

Answer key

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

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