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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 180 · 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.Aditya’s father is four times as old as Aditya. The sum of their ages is 70 years. How old is Aditya?
  2. 2.Farhan’s father is three times as old as Farhan. The sum of their ages is 24 years. How old is Farhan?
  3. 3.3 years ago, Farhan’s mother was four times as old as Farhan. The mother is 19 years old now. How old is Farhan now?
  4. 4.Arjun is 10 years older than Isha. In 6 years, the sum of their ages will be 52. How old is Isha now?
  5. 5.Kavya’s father is five times as old as Kavya. The sum of their ages is 36 years. How old is Kavya?
  6. 6.9 years ago, Farhan’s mother was three times as old as Farhan. The mother is 33 years old now. How old is Farhan now?
  7. 7.4 years ago, Ishaan’s mother was twice as old as Ishaan. The mother is 22 years old now. How old is Ishaan now?
  8. 8.Zoya’s father is four times as old as Zoya. The sum of their ages is 75 years. How old is Zoya?
  9. 9.In 6 years, Meera will be twice as old as Meera was 3 years ago. How old is Meera now?
  10. 10.Kabir’s father is five times as old as Kabir. The sum of their ages is 48 years. How old is Kabir?
  11. 11.In 20 years, Arjun will be twice as old as Arjun was 4 years ago. How old is Arjun now?
  12. 12.Zoya is 7 years older than Saanvi. In 8 years, the sum of their ages will be 35. How old is Saanvi now?
  13. 13.Manav is 7 years older than Farhan. In 6 years, the sum of their ages will be 35. How old is Farhan now?
  14. 14.3 years ago, Tara’s mother was four times as old as Tara. The mother is 27 years old now. How old is Tara now?
  15. 15.Kavya’s father is twice as old as Kavya. The sum of their ages is 39 years. How old is the father?
  16. 16.Rohan’s father is twice as old as Rohan. The sum of their ages is 30 years. How old is the father?
  17. 17.9 years ago, Farhan’s mother was three times as old as Farhan. The mother is 30 years old now. How old is Farhan now?
  18. 18.Meera’s father is three times as old as Meera. The sum of their ages is 36 years. How old is Meera?
  19. 19.6 years ago, Meera’s mother was twice as old as Meera. The mother is 14 years old now. How old is Meera now?
  20. 20.3 years ago, Isha’s mother was four times as old as Isha. The mother is 19 years old now. How old is Isha now?
  21. 21.Sneha’s father is three times as old as Sneha. The sum of their ages is 20 years. How old is the father?
  22. 22.Kavya’s father is four times as old as Kavya. The sum of their ages is 45 years. How old is the father?
  23. 23.In 17 years, Kabir will be twice as old as Kabir was 2 years ago. How old is Kabir now?
  24. 24.In 27 years, Farhan will be three times as old as Farhan was 5 years ago. How old is Farhan now?
  25. 25.Rohan’s father is five times as old as Rohan. The sum of their ages is 60 years. How old is the father?
  26. 26.10 years ago, Nisha’s mother was four times as old as Nisha. The mother is 46 years old now. How old is Nisha now?
  27. 27.Meera’s father is twice as old as Meera. The sum of their ages is 18 years. How old is Meera?
  28. 28.4 years ago, Aditya’s mother was twice as old as Aditya. The mother is 28 years old now. How old is Aditya now?
  29. 29.Priya is 5 years older than Rohan. In 5 years, the sum of their ages will be 27. How old is Rohan now?
  30. 30.5 years ago, Rahul’s mother was four times as old as Rahul. The mother is 53 years old now. How old is Rahul now?
  31. 31.Manav’s father is three times as old as Manav. The sum of their ages is 60 years. How old is Manav?
  32. 32.In 28 years, Aarav will be twice as old as Aarav was 3 years ago. How old is Aarav now?
  33. 33.Kabir is 2 years older than Pooja. In 5 years, the sum of their ages will be 72. How old is Pooja now?
  34. 34.In 9 years, Manav will be twice as old as Manav was 2 years ago. How old is Manav now?
  35. 35.In 5 years, Aditya will be three times as old as Aditya was 5 years ago. How old is Aditya now?
  36. 36.Priya is 5 years older than Manav. In 4 years, the sum of their ages will be 45. How old is Manav now?
  37. 37.Rahul is 7 years older than Rohan. In 5 years, the sum of their ages will be 53. How old is Rohan now?
  38. 38.7 years ago, Diya’s mother was twice as old as Diya. The mother is 29 years old now. How old is Diya now?
  39. 39.Ananya is 2 years older than Diya. In 5 years, the sum of their ages will be 60. How old is Diya now?
  40. 40.Tara is 8 years older than Ananya. In 8 years, the sum of their ages will be 78. How old is Ananya now?

Answer key

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

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