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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 386 · 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.Priya’s father is three times as old as Priya. The sum of their ages is 52 years. How old is the father?
  2. 2.10 years ago, Aditya’s mother was twice as old as Aditya. The mother is 22 years old now. How old is Aditya now?
  3. 3.10 years ago, Arjun’s mother was four times as old as Arjun. The mother is 54 years old now. How old is Arjun now?
  4. 4.Karan’s father is three times as old as Karan. The sum of their ages is 40 years. How old is Karan?
  5. 5.9 years ago, Farhan’s mother was twice as old as Farhan. The mother is 15 years old now. How old is Farhan now?
  6. 6.In 8 years, Arjun will be twice as old as Arjun was 3 years ago. How old is Arjun now?
  7. 7.In 18 years, Ishaan will be twice as old as Ishaan was 3 years ago. How old is Ishaan now?
  8. 8.Rahul is 3 years older than Kavya. In 9 years, the sum of their ages will be 73. How old is Kavya now?
  9. 9.In 7 years, Vivaan will be twice as old as Vivaan was 6 years ago. How old is Vivaan now?
  10. 10.Manav is 10 years older than Ananya. In 9 years, the sum of their ages will be 68. How old is Ananya now?
  11. 11.Arjun’s father is four times as old as Arjun. The sum of their ages is 30 years. How old is Arjun?
  12. 12.3 years ago, Tara’s mother was four times as old as Tara. The mother is 51 years old now. How old is Tara now?
  13. 13.Arjun is 2 years older than Kabir. In 5 years, the sum of their ages will be 42. How old is Kabir now?
  14. 14.Farhan is 5 years older than Karan. In 4 years, the sum of their ages will be 47. How old is Karan now?
  15. 15.6 years ago, Meera’s mother was four times as old as Meera. The mother is 46 years old now. How old is Meera now?
  16. 16.10 years ago, Ananya’s mother was four times as old as Ananya. The mother is 54 years old now. How old is Ananya now?
  17. 17.Diya is 4 years older than Rohan. In 8 years, the sum of their ages will be 60. How old is Rohan now?
  18. 18.Vivaan is 7 years older than Aarav. In 9 years, the sum of their ages will be 85. How old is Aarav now?
  19. 19.Tara’s father is three times as old as Tara. The sum of their ages is 32 years. How old is the father?
  20. 20.2 years ago, Aditya’s mother was four times as old as Aditya. The mother is 22 years old now. How old is Aditya now?
  21. 21.5 years ago, Rohan’s mother was four times as old as Rohan. The mother is 41 years old now. How old is Rohan now?
  22. 22.10 years ago, Aditya’s mother was four times as old as Aditya. The mother is 38 years old now. How old is Aditya now?
  23. 23.In 14 years, Aditya will be twice as old as Aditya was 5 years ago. How old is Aditya now?
  24. 24.Ananya’s father is four times as old as Ananya. The sum of their ages is 45 years. How old is the father?
  25. 25.In 25 years, Ishaan will be twice as old as Ishaan was 4 years ago. How old is Ishaan now?
  26. 26.Farhan’s father is four times as old as Farhan. The sum of their ages is 45 years. How old is Farhan?
  27. 27.6 years ago, Diya’s mother was four times as old as Diya. The mother is 42 years old now. How old is Diya now?
  28. 28.Zoya is 3 years older than Arjun. In 9 years, the sum of their ages will be 67. How old is Arjun now?
  29. 29.Dev is 5 years older than Saanvi. In 6 years, the sum of their ages will be 29. How old is Saanvi now?
  30. 30.Ananya’s father is twice as old as Ananya. The sum of their ages is 27 years. How old is Ananya?
  31. 31.In 1 years, Manav will be three times as old as Manav was 5 years ago. How old is Manav now?
  32. 32.In 24 years, Pooja will be twice as old as Pooja was 2 years ago. How old is Pooja now?
  33. 33.Diya’s father is four times as old as Diya. The sum of their ages is 70 years. How old is Diya?
  34. 34.2 years ago, Tara’s mother was three times as old as Tara. The mother is 32 years old now. How old is Tara now?
  35. 35.3 years ago, Isha’s mother was three times as old as Isha. The mother is 30 years old now. How old is Isha now?
  36. 36.Saanvi’s father is twice as old as Saanvi. The sum of their ages is 18 years. How old is Saanvi?
  37. 37.In 14 years, Ananya will be three times as old as Ananya was 4 years ago. How old is Ananya now?
  38. 38.In 18 years, Farhan will be three times as old as Farhan was 2 years ago. How old is Farhan now?
  39. 39.Karan’s father is three times as old as Karan. The sum of their ages is 44 years. How old is Karan?
  40. 40.Isha is 10 years older than Meera. In 7 years, the sum of their ages will be 80. How old is Meera now?

Answer key

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

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