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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 109 · 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. 1.2 years ago, Rahul’s mother was three times as old as Rahul. The mother is 26 years old now. How old is Rahul now?
  2. 2.Isha’s father is twice as old as Isha. The sum of their ages is 30 years. How old is Isha?
  3. 3.4 years ago, Vivaan’s mother was twice as old as Vivaan. The mother is 26 years old now. How old is Vivaan now?
  4. 4.7 years ago, Priya’s mother was twice as old as Priya. The mother is 27 years old now. How old is Priya now?
  5. 5.In 16 years, Isha will be twice as old as Isha was 2 years ago. How old is Isha now?
  6. 6.In 12 years, Aditya will be twice as old as Aditya was 3 years ago. How old is Aditya now?
  7. 7.Zoya is 8 years older than Aarav. In 9 years, the sum of their ages will be 44. How old is Aarav now?
  8. 8.Saanvi is 8 years older than Karan. In 3 years, the sum of their ages will be 32. How old is Karan now?
  9. 9.Vivaan’s father is five times as old as Vivaan. The sum of their ages is 78 years. How old is the father?
  10. 10.Ananya is 7 years older than Kabir. In 5 years, the sum of their ages will be 57. How old is Kabir now?
  11. 11.Priya’s father is five times as old as Priya. The sum of their ages is 78 years. How old is the father?
  12. 12.7 years ago, Meera’s mother was twice as old as Meera. The mother is 27 years old now. How old is Meera now?
  13. 13.Rahul is 7 years older than Diya. In 9 years, the sum of their ages will be 63. How old is Diya now?
  14. 14.Ananya is 8 years older than Sneha. In 7 years, the sum of their ages will be 44. How old is Sneha now?
  15. 15.Rahul’s father is three times as old as Rahul. The sum of their ages is 44 years. How old is the father?
  16. 16.3 years ago, Arjun’s mother was three times as old as Arjun. The mother is 24 years old now. How old is Arjun now?
  17. 17.Aditya is 8 years older than Ishaan. In 2 years, the sum of their ages will be 72. How old is Ishaan now?
  18. 18.10 years ago, Sneha’s mother was twice as old as Sneha. The mother is 26 years old now. How old is Sneha now?
  19. 19.Farhan is 5 years older than Priya. In 2 years, the sum of their ages will be 37. How old is Priya now?
  20. 20.Karan’s father is twice as old as Karan. The sum of their ages is 24 years. How old is Karan?
  21. 21.In 15 years, Diya will be three times as old as Diya was 5 years ago. How old is Diya now?
  22. 22.Ananya is 8 years older than Rohan. In 9 years, the sum of their ages will be 54. How old is Rohan now?
  23. 23.Vivaan’s father is four times as old as Vivaan. The sum of their ages is 30 years. How old is the father?
  24. 24.3 years ago, Karan’s mother was three times as old as Karan. The mother is 24 years old now. How old is Karan now?
  25. 25.9 years ago, Ishaan’s mother was three times as old as Ishaan. The mother is 30 years old now. How old is Ishaan now?
  26. 26.Isha’s father is four times as old as Isha. The sum of their ages is 30 years. How old is Isha?
  27. 27.In 8 years, Manav will be twice as old as Manav was 4 years ago. How old is Manav now?
  28. 28.Rohan’s father is four times as old as Rohan. The sum of their ages is 40 years. How old is the father?
  29. 29.10 years ago, Manav’s mother was twice as old as Manav. The mother is 18 years old now. How old is Manav now?
  30. 30.In 14 years, Rohan will be three times as old as Rohan was 6 years ago. How old is Rohan now?
  31. 31.In 4 years, Rahul will be twice as old as Rahul was 3 years ago. How old is Rahul now?
  32. 32.Rohan’s father is twice as old as Rohan. The sum of their ages is 36 years. How old is the father?
  33. 33.Saanvi is 3 years older than Rahul. In 5 years, the sum of their ages will be 31. How old is Rahul now?
  34. 34.6 years ago, Kabir’s mother was four times as old as Kabir. The mother is 46 years old now. How old is Kabir now?
  35. 35.Ananya is 7 years older than Zoya. In 7 years, the sum of their ages will be 39. How old is Zoya now?
  36. 36.Kabir is 2 years older than Ishaan. In 3 years, the sum of their ages will be 46. How old is Ishaan now?
  37. 37.Isha’s father is twice as old as Isha. The sum of their ages is 27 years. How old is Isha?
  38. 38.6 years ago, Farhan’s mother was three times as old as Farhan. The mother is 30 years old now. How old is Farhan now?
  39. 39.In 12 years, Karan will be twice as old as Karan was 6 years ago. How old is Karan now?
  40. 40.4 years ago, Ananya’s mother was three times as old as Ananya. The mother is 19 years old now. How old is Ananya now?

Answer key

  1. 10
  2. 10
  3. 15
  4. 17
  5. 20
  6. 18
  7. 9
  8. 9
  9. 65
  10. 20
  11. 65
  12. 17
  13. 19
  14. 11
  15. 33
  16. 10
  17. 30
  18. 18
  19. 14
  20. 8
  21. 15
  22. 14
  23. 24
  24. 10
  25. 16
  26. 6
  27. 16
  28. 32
  29. 14
  30. 16
  31. 10
  32. 24
  33. 9
  34. 16
  35. 9
  36. 19
  37. 9
  38. 14
  39. 24
  40. 9

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