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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 500 · 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.Tara’s father is twice as old as Tara. The sum of their ages is 42 years. How old is the father?
  2. 2.8 years ago, Aarav’s mother was four times as old as Aarav. The mother is 48 years old now. How old is Aarav now?
  3. 3.2 years ago, Isha’s mother was three times as old as Isha. The mother is 14 years old now. How old is Isha now?
  4. 4.6 years ago, Rohan’s mother was three times as old as Rohan. The mother is 36 years old now. How old is Rohan now?
  5. 5.Arjun’s father is twice as old as Arjun. The sum of their ages is 42 years. How old is the father?
  6. 6.Aarav’s father is twice as old as Aarav. The sum of their ages is 30 years. How old is Aarav?
  7. 7.7 years ago, Sneha’s mother was four times as old as Sneha. The mother is 27 years old now. How old is Sneha now?
  8. 8.In 25 years, Rohan will be twice as old as Rohan was 4 years ago. How old is Rohan now?
  9. 9.Zoya is 3 years older than Aarav. In 2 years, the sum of their ages will be 35. How old is Aarav now?
  10. 10.Pooja’s father is twice as old as Pooja. The sum of their ages is 39 years. How old is the father?
  11. 11.Dev’s father is three times as old as Dev. The sum of their ages is 28 years. How old is the father?
  12. 12.In 10 years, Aarav will be three times as old as Aarav was 6 years ago. How old is Aarav now?
  13. 13.Ananya’s father is five times as old as Ananya. The sum of their ages is 54 years. How old is Ananya?
  14. 14.In 5 years, Farhan will be twice as old as Farhan was 2 years ago. How old is Farhan now?
  15. 15.Diya is 4 years older than Isha. In 10 years, the sum of their ages will be 40. How old is Isha now?
  16. 16.3 years ago, Tara’s mother was four times as old as Tara. The mother is 15 years old now. How old is Tara now?
  17. 17.Priya’s father is five times as old as Priya. The sum of their ages is 60 years. How old is the father?
  18. 18.Dev is 3 years older than Farhan. In 7 years, the sum of their ages will be 39. How old is Farhan now?
  19. 19.Tara’s father is five times as old as Tara. The sum of their ages is 54 years. How old is the father?
  20. 20.In 4 years, Sneha will be twice as old as Sneha was 6 years ago. How old is Sneha now?
  21. 21.Nisha’s father is four times as old as Nisha. The sum of their ages is 50 years. How old is the father?
  22. 22.Rahul is 10 years older than Ishaan. In 4 years, the sum of their ages will be 62. How old is Ishaan now?
  23. 23.Karan’s father is three times as old as Karan. The sum of their ages is 48 years. How old is Karan?
  24. 24.Zoya is 6 years older than Ishaan. In 9 years, the sum of their ages will be 70. How old is Ishaan now?
  25. 25.6 years ago, Vivaan’s mother was twice as old as Vivaan. The mother is 16 years old now. How old is Vivaan now?
  26. 26.In 18 years, Sneha will be three times as old as Sneha was 2 years ago. How old is Sneha now?
  27. 27.4 years ago, Karan’s mother was four times as old as Karan. The mother is 32 years old now. How old is Karan now?
  28. 28.3 years ago, Aarav’s mother was twice as old as Aarav. The mother is 9 years old now. How old is Aarav now?
  29. 29.4 years ago, Kavya’s mother was twice as old as Kavya. The mother is 12 years old now. How old is Kavya now?
  30. 30.2 years ago, Aditya’s mother was four times as old as Aditya. The mother is 38 years old now. How old is Aditya now?
  31. 31.Kavya’s father is twice as old as Kavya. The sum of their ages is 18 years. How old is the father?
  32. 32.Vivaan is 4 years older than Saanvi. In 10 years, the sum of their ages will be 52. How old is Saanvi now?
  33. 33.6 years ago, Isha’s mother was four times as old as Isha. The mother is 34 years old now. How old is Isha now?
  34. 34.6 years ago, Dev’s mother was four times as old as Dev. The mother is 18 years old now. How old is Dev now?
  35. 35.Ananya is 5 years older than Karan. In 10 years, the sum of their ages will be 65. How old is Karan now?
  36. 36.Kavya is 8 years older than Priya. In 8 years, the sum of their ages will be 80. How old is Priya now?
  37. 37.Pooja is 8 years older than Priya. In 7 years, the sum of their ages will be 36. How old is Priya now?
  38. 38.Dev is 3 years older than Tara. In 5 years, the sum of their ages will be 27. How old is Tara now?
  39. 39.Zoya is 2 years older than Meera. In 9 years, the sum of their ages will be 76. How old is Meera now?
  40. 40.In 16 years, Farhan will be twice as old as Farhan was 5 years ago. How old is Farhan now?

Answer key

  1. 28
  2. 18
  3. 6
  4. 16
  5. 28
  6. 10
  7. 12
  8. 33
  9. 14
  10. 26
  11. 21
  12. 14
  13. 9
  14. 9
  15. 8
  16. 6
  17. 50
  18. 11
  19. 45
  20. 16
  21. 40
  22. 22
  23. 12
  24. 23
  25. 11
  26. 12
  27. 11
  28. 6
  29. 8
  30. 11
  31. 12
  32. 14
  33. 13
  34. 9
  35. 20
  36. 28
  37. 7
  38. 7
  39. 28
  40. 26

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