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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 994 · 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.Meera’s father is four times as old as Meera. The sum of their ages is 65 years. How old is Meera?
  2. 2.Aditya’s father is twice as old as Aditya. The sum of their ages is 39 years. How old is the father?
  3. 3.Aditya is 8 years older than Karan. In 9 years, the sum of their ages will be 64. How old is Karan now?
  4. 4.Aarav’s father is three times as old as Aarav. The sum of their ages is 36 years. How old is Aarav?
  5. 5.9 years ago, Rohan’s mother was twice as old as Rohan. The mother is 29 years old now. How old is Rohan now?
  6. 6.Ananya’s father is four times as old as Ananya. The sum of their ages is 75 years. How old is the father?
  7. 7.6 years ago, Karan’s mother was four times as old as Karan. The mother is 22 years old now. How old is Karan now?
  8. 8.Kabir’s father is four times as old as Kabir. The sum of their ages is 35 years. How old is the father?
  9. 9.Vivaan’s father is four times as old as Vivaan. The sum of their ages is 45 years. How old is Vivaan?
  10. 10.Karan is 10 years older than Priya. In 3 years, the sum of their ages will be 70. How old is Priya now?
  11. 11.7 years ago, Ishaan’s mother was four times as old as Ishaan. The mother is 19 years old now. How old is Ishaan now?
  12. 12.In 14 years, Isha will be twice as old as Isha was 3 years ago. How old is Isha now?
  13. 13.Ananya is 6 years older than Vivaan. In 10 years, the sum of their ages will be 60. How old is Vivaan now?
  14. 14.In 17 years, Ananya will be three times as old as Ananya was 3 years ago. How old is Ananya now?
  15. 15.9 years ago, Zoya’s mother was twice as old as Zoya. The mother is 15 years old now. How old is Zoya now?
  16. 16.Aarav is 5 years older than Farhan. In 9 years, the sum of their ages will be 47. How old is Farhan now?
  17. 17.Meera is 7 years older than Rohan. In 4 years, the sum of their ages will be 47. How old is Rohan now?
  18. 18.Tara’s father is twice as old as Tara. The sum of their ages is 42 years. How old is the father?
  19. 19.In 24 years, Farhan will be three times as old as Farhan was 2 years ago. How old is Farhan now?
  20. 20.9 years ago, Tara’s mother was three times as old as Tara. The mother is 45 years old now. How old is Tara now?
  21. 21.Ishaan’s father is five times as old as Ishaan. The sum of their ages is 54 years. How old is Ishaan?
  22. 22.2 years ago, Diya’s mother was twice as old as Diya. The mother is 22 years old now. How old is Diya now?
  23. 23.3 years ago, Meera’s mother was three times as old as Meera. The mother is 30 years old now. How old is Meera now?
  24. 24.Kavya’s father is five times as old as Kavya. The sum of their ages is 90 years. How old is the father?
  25. 25.Rahul’s father is three times as old as Rahul. The sum of their ages is 24 years. How old is the father?
  26. 26.6 years ago, Dev’s mother was three times as old as Dev. The mother is 33 years old now. How old is Dev now?
  27. 27.In 11 years, Vivaan will be three times as old as Vivaan was 3 years ago. How old is Vivaan now?
  28. 28.Aditya’s father is three times as old as Aditya. The sum of their ages is 36 years. How old is the father?
  29. 29.3 years ago, Dev’s mother was twice as old as Dev. The mother is 19 years old now. How old is Dev now?
  30. 30.8 years ago, Kabir’s mother was four times as old as Kabir. The mother is 28 years old now. How old is Kabir now?
  31. 31.8 years ago, Priya’s mother was four times as old as Priya. The mother is 48 years old now. How old is Priya now?
  32. 32.Diya is 7 years older than Rahul. In 3 years, the sum of their ages will be 45. How old is Rahul now?
  33. 33.Diya’s father is three times as old as Diya. The sum of their ages is 32 years. How old is Diya?
  34. 34.Vivaan’s father is three times as old as Vivaan. The sum of their ages is 28 years. How old is Vivaan?
  35. 35.In 2 years, Farhan will be twice as old as Farhan was 5 years ago. How old is Farhan now?
  36. 36.Meera’s father is four times as old as Meera. The sum of their ages is 75 years. How old is Meera?
  37. 37.Meera’s father is twice as old as Meera. The sum of their ages is 30 years. How old is Meera?
  38. 38.Zoya’s father is three times as old as Zoya. The sum of their ages is 32 years. How old is the father?
  39. 39.In 19 years, Arjun will be twice as old as Arjun was 2 years ago. How old is Arjun now?
  40. 40.8 years ago, Farhan’s mother was four times as old as Farhan. The mother is 44 years old now. How old is Farhan now?

Answer key

  1. 13
  2. 26
  3. 19
  4. 9
  5. 19
  6. 60
  7. 10
  8. 28
  9. 9
  10. 27
  11. 10
  12. 20
  13. 17
  14. 13
  15. 12
  16. 12
  17. 16
  18. 28
  19. 15
  20. 21
  21. 9
  22. 12
  23. 12
  24. 75
  25. 18
  26. 15
  27. 10
  28. 27
  29. 11
  30. 13
  31. 18
  32. 16
  33. 8
  34. 7
  35. 12
  36. 15
  37. 10
  38. 24
  39. 23
  40. 17

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