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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 340 · 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.Arjun’s father is five times as old as Arjun. The sum of their ages is 90 years. How old is the father?
  2. 2.Vivaan is 2 years older than Isha. In 9 years, the sum of their ages will be 42. How old is Isha now?
  3. 3.Nisha’s father is twice as old as Nisha. The sum of their ages is 21 years. How old is Nisha?
  4. 4.Aditya’s father is twice as old as Aditya. The sum of their ages is 21 years. How old is Aditya?
  5. 5.Rahul is 10 years older than Kavya. In 8 years, the sum of their ages will be 70. How old is Kavya now?
  6. 6.3 years ago, Kabir’s mother was four times as old as Kabir. The mother is 35 years old now. How old is Kabir now?
  7. 7.6 years ago, Kabir’s mother was four times as old as Kabir. The mother is 46 years old now. How old is Kabir now?
  8. 8.9 years ago, Diya’s mother was three times as old as Diya. The mother is 42 years old now. How old is Diya now?
  9. 9.Rahul is 3 years older than Manav. In 7 years, the sum of their ages will be 31. How old is Manav now?
  10. 10.Arjun’s father is five times as old as Arjun. The sum of their ages is 36 years. How old is the father?
  11. 11.Rahul is 10 years older than Arjun. In 2 years, the sum of their ages will be 66. How old is Arjun now?
  12. 12.Sneha’s father is twice as old as Sneha. The sum of their ages is 45 years. How old is Sneha?
  13. 13.4 years ago, Meera’s mother was four times as old as Meera. The mother is 32 years old now. How old is Meera now?
  14. 14.In 9 years, Aarav will be twice as old as Aarav was 4 years ago. How old is Aarav now?
  15. 15.Tara is 9 years older than Meera. In 5 years, the sum of their ages will be 61. How old is Meera now?
  16. 16.3 years ago, Saanvi’s mother was twice as old as Saanvi. The mother is 23 years old now. How old is Saanvi now?
  17. 17.Ananya is 7 years older than Isha. In 4 years, the sum of their ages will be 39. How old is Isha now?
  18. 18.Priya is 4 years older than Meera. In 5 years, the sum of their ages will be 26. How old is Meera now?
  19. 19.Zoya is 6 years older than Manav. In 5 years, the sum of their ages will be 64. How old is Manav now?
  20. 20.In 2 years, Priya will be twice as old as Priya was 4 years ago. How old is Priya now?
  21. 21.In 7 years, Kabir will be twice as old as Kabir was 4 years ago. How old is Kabir now?
  22. 22.In 2 years, Aditya will be twice as old as Aditya was 3 years ago. How old is Aditya now?
  23. 23.7 years ago, Tara’s mother was three times as old as Tara. The mother is 43 years old now. How old is Tara now?
  24. 24.5 years ago, Kabir’s mother was twice as old as Kabir. The mother is 17 years old now. How old is Kabir now?
  25. 25.5 years ago, Kabir’s mother was twice as old as Kabir. The mother is 11 years old now. How old is Kabir now?
  26. 26.In 22 years, Ishaan will be twice as old as Ishaan was 5 years ago. How old is Ishaan now?
  27. 27.Manav’s father is twice as old as Manav. The sum of their ages is 24 years. How old is Manav?
  28. 28.Aarav’s father is three times as old as Aarav. The sum of their ages is 44 years. How old is Aarav?
  29. 29.Kabir’s father is five times as old as Kabir. The sum of their ages is 78 years. How old is the father?
  30. 30.5 years ago, Ananya’s mother was four times as old as Ananya. The mother is 37 years old now. How old is Ananya now?
  31. 31.Meera’s father is twice as old as Meera. The sum of their ages is 27 years. How old is Meera?
  32. 32.Diya’s father is three times as old as Diya. The sum of their ages is 32 years. How old is Diya?
  33. 33.3 years ago, Nisha’s mother was twice as old as Nisha. The mother is 13 years old now. How old is Nisha now?
  34. 34.Nisha is 2 years older than Sneha. In 8 years, the sum of their ages will be 32. How old is Sneha now?
  35. 35.In 4 years, Nisha will be twice as old as Nisha was 2 years ago. How old is Nisha now?
  36. 36.Farhan’s father is four times as old as Farhan. The sum of their ages is 40 years. How old is the father?
  37. 37.In 13 years, Ananya will be twice as old as Ananya was 4 years ago. How old is Ananya now?
  38. 38.6 years ago, Priya’s mother was four times as old as Priya. The mother is 18 years old now. How old is Priya now?
  39. 39.5 years ago, Tara’s mother was four times as old as Tara. The mother is 37 years old now. How old is Tara now?
  40. 40.6 years ago, Rohan’s mother was twice as old as Rohan. The mother is 12 years old now. How old is Rohan now?

Answer key

  1. 75
  2. 11
  3. 7
  4. 7
  5. 22
  6. 11
  7. 16
  8. 20
  9. 7
  10. 30
  11. 26
  12. 15
  13. 11
  14. 17
  15. 21
  16. 13
  17. 12
  18. 6
  19. 24
  20. 10
  21. 15
  22. 8
  23. 19
  24. 11
  25. 8
  26. 32
  27. 8
  28. 11
  29. 65
  30. 13
  31. 9
  32. 8
  33. 8
  34. 7
  35. 8
  36. 32
  37. 21
  38. 9
  39. 13
  40. 9

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