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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 596 · 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, Rohan’s mother was three times as old as Rohan. The mother is 17 years old now. How old is Rohan now?
  2. 2.Aarav is 3 years older than Farhan. In 10 years, the sum of their ages will be 41. How old is Farhan now?
  3. 3.6 years ago, Priya’s mother was three times as old as Priya. The mother is 33 years old now. How old is Priya now?
  4. 4.In 28 years, Vivaan will be three times as old as Vivaan was 4 years ago. How old is Vivaan now?
  5. 5.7 years ago, Nisha’s mother was twice as old as Nisha. The mother is 15 years old now. How old is Nisha now?
  6. 6.In 20 years, Manav will be twice as old as Manav was 3 years ago. How old is Manav now?
  7. 7.6 years ago, Pooja’s mother was four times as old as Pooja. The mother is 18 years old now. How old is Pooja now?
  8. 8.In 26 years, Vivaan will be twice as old as Vivaan was 3 years ago. How old is Vivaan now?
  9. 9.Meera is 8 years older than Nisha. In 4 years, the sum of their ages will be 76. How old is Nisha now?
  10. 10.Kabir’s father is four times as old as Kabir. The sum of their ages is 30 years. How old is Kabir?
  11. 11.Kavya is 4 years older than Meera. In 9 years, the sum of their ages will be 44. How old is Meera now?
  12. 12.4 years ago, Arjun’s mother was three times as old as Arjun. The mother is 25 years old now. How old is Arjun now?
  13. 13.7 years ago, Tara’s mother was twice as old as Tara. The mother is 15 years old now. How old is Tara now?
  14. 14.5 years ago, Kavya’s mother was twice as old as Kavya. The mother is 19 years old now. How old is Kavya now?
  15. 15.Ananya is 9 years older than Aditya. In 4 years, the sum of their ages will be 29. How old is Aditya now?
  16. 16.Priya is 8 years older than Tara. In 3 years, the sum of their ages will be 44. How old is Tara now?
  17. 17.Priya’s father is three times as old as Priya. The sum of their ages is 24 years. How old is the father?
  18. 18.Ishaan is 5 years older than Meera. In 5 years, the sum of their ages will be 25. How old is Meera now?
  19. 19.Pooja is 2 years older than Zoya. In 4 years, the sum of their ages will be 56. How old is Zoya now?
  20. 20.Aarav’s father is three times as old as Aarav. The sum of their ages is 48 years. How old is the father?
  21. 21.9 years ago, Pooja’s mother was three times as old as Pooja. The mother is 33 years old now. How old is Pooja now?
  22. 22.Karan is 7 years older than Farhan. In 7 years, the sum of their ages will be 73. How old is Farhan now?
  23. 23.Tara’s father is four times as old as Tara. The sum of their ages is 35 years. How old is Tara?
  24. 24.In 25 years, Tara will be twice as old as Tara was 4 years ago. How old is Tara now?
  25. 25.Karan is 9 years older than Zoya. In 2 years, the sum of their ages will be 31. How old is Zoya now?
  26. 26.Diya’s father is five times as old as Diya. The sum of their ages is 66 years. How old is Diya?
  27. 27.Arjun’s father is five times as old as Arjun. The sum of their ages is 72 years. How old is the father?
  28. 28.In 4 years, Rohan will be three times as old as Rohan was 4 years ago. How old is Rohan now?
  29. 29.Ishaan is 7 years older than Dev. In 9 years, the sum of their ages will be 61. How old is Dev now?
  30. 30.Manav is 6 years older than Pooja. In 6 years, the sum of their ages will be 72. How old is Pooja now?
  31. 31.Rohan is 7 years older than Dev. In 9 years, the sum of their ages will be 51. How old is Dev now?
  32. 32.Sneha is 2 years older than Aarav. In 2 years, the sum of their ages will be 48. How old is Aarav now?
  33. 33.Tara’s father is four times as old as Tara. The sum of their ages is 40 years. How old is Tara?
  34. 34.Kabir is 10 years older than Nisha. In 9 years, the sum of their ages will be 84. How old is Nisha now?
  35. 35.Ananya is 6 years older than Diya. In 4 years, the sum of their ages will be 24. How old is Diya now?
  36. 36.Diya is 7 years older than Aditya. In 5 years, the sum of their ages will be 61. How old is Aditya now?
  37. 37.Ishaan’s father is twice as old as Ishaan. The sum of their ages is 45 years. How old is Ishaan?
  38. 38.Priya is 9 years older than Vivaan. In 8 years, the sum of their ages will be 67. How old is Vivaan now?
  39. 39.2 years ago, Rohan’s mother was four times as old as Rohan. The mother is 34 years old now. How old is Rohan now?
  40. 40.8 years ago, Kavya’s mother was four times as old as Kavya. The mother is 20 years old now. How old is Kavya now?

Answer key

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

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