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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 284 · 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.Aarav’s father is three times as old as Aarav. The sum of their ages is 24 years. How old is Aarav?
  2. 2.Rohan’s father is four times as old as Rohan. The sum of their ages is 60 years. How old is the father?
  3. 3.Saanvi’s father is three times as old as Saanvi. The sum of their ages is 40 years. How old is the father?
  4. 4.9 years ago, Nisha’s mother was three times as old as Nisha. The mother is 30 years old now. How old is Nisha now?
  5. 5.4 years ago, Pooja’s mother was four times as old as Pooja. The mother is 24 years old now. How old is Pooja now?
  6. 6.6 years ago, Isha’s mother was four times as old as Isha. The mother is 46 years old now. How old is Isha now?
  7. 7.In 4 years, Kavya will be twice as old as Kavya was 4 years ago. How old is Kavya now?
  8. 8.Rahul is 8 years older than Diya. In 10 years, the sum of their ages will be 40. How old is Diya now?
  9. 9.In 22 years, Sneha will be twice as old as Sneha was 2 years ago. How old is Sneha now?
  10. 10.Arjun’s father is three times as old as Arjun. The sum of their ages is 44 years. How old is the father?
  11. 11.2 years ago, Karan’s mother was twice as old as Karan. The mother is 24 years old now. How old is Karan now?
  12. 12.Kavya is 8 years older than Aarav. In 6 years, the sum of their ages will be 64. How old is Aarav now?
  13. 13.9 years ago, Meera’s mother was four times as old as Meera. The mother is 25 years old now. How old is Meera now?
  14. 14.Kavya is 7 years older than Sneha. In 2 years, the sum of their ages will be 43. How old is Sneha now?
  15. 15.Pooja’s father is four times as old as Pooja. The sum of their ages is 70 years. How old is the father?
  16. 16.In 5 years, Sneha will be twice as old as Sneha was 2 years ago. How old is Sneha now?
  17. 17.6 years ago, Dev’s mother was three times as old as Dev. The mother is 42 years old now. How old is Dev now?
  18. 18.Farhan’s father is four times as old as Farhan. The sum of their ages is 45 years. How old is Farhan?
  19. 19.In 24 years, Meera will be twice as old as Meera was 6 years ago. How old is Meera now?
  20. 20.Zoya is 8 years older than Diya. In 6 years, the sum of their ages will be 38. How old is Diya now?
  21. 21.Diya’s father is three times as old as Diya. The sum of their ages is 60 years. How old is Diya?
  22. 22.Zoya is 6 years older than Pooja. In 5 years, the sum of their ages will be 32. How old is Pooja now?
  23. 23.Manav’s father is four times as old as Manav. The sum of their ages is 45 years. How old is the father?
  24. 24.Ishaan is 2 years older than Sneha. In 8 years, the sum of their ages will be 72. How old is Sneha now?
  25. 25.Meera is 6 years older than Arjun. In 6 years, the sum of their ages will be 78. How old is Arjun now?
  26. 26.Sneha’s father is four times as old as Sneha. The sum of their ages is 25 years. How old is the father?
  27. 27.9 years ago, Arjun’s mother was twice as old as Arjun. The mother is 19 years old now. How old is Arjun now?
  28. 28.Aditya is 2 years older than Ananya. In 9 years, the sum of their ages will be 74. How old is Ananya now?
  29. 29.6 years ago, Isha’s mother was four times as old as Isha. The mother is 50 years old now. How old is Isha now?
  30. 30.Kavya’s father is three times as old as Kavya. The sum of their ages is 60 years. How old is Kavya?
  31. 31.In 7 years, Karan will be three times as old as Karan was 3 years ago. How old is Karan now?
  32. 32.Tara’s father is three times as old as Tara. The sum of their ages is 36 years. How old is Tara?
  33. 33.Pooja’s father is twice as old as Pooja. The sum of their ages is 15 years. How old is Pooja?
  34. 34.Diya is 8 years older than Arjun. In 8 years, the sum of their ages will be 42. How old is Arjun now?
  35. 35.Nisha is 5 years older than Rohan. In 9 years, the sum of their ages will be 33. How old is Rohan now?
  36. 36.Meera is 7 years older than Manav. In 6 years, the sum of their ages will be 51. How old is Manav now?
  37. 37.Arjun’s father is three times as old as Arjun. The sum of their ages is 56 years. How old is the father?
  38. 38.4 years ago, Nisha’s mother was three times as old as Nisha. The mother is 37 years old now. How old is Nisha now?
  39. 39.In 22 years, Rohan will be twice as old as Rohan was 5 years ago. How old is Rohan now?
  40. 40.Kabir is 3 years older than Aarav. In 5 years, the sum of their ages will be 57. How old is Aarav now?

Answer key

  1. 6
  2. 48
  3. 30
  4. 16
  5. 9
  6. 16
  7. 12
  8. 6
  9. 26
  10. 33
  11. 13
  12. 22
  13. 13
  14. 16
  15. 56
  16. 9
  17. 18
  18. 9
  19. 36
  20. 9
  21. 15
  22. 8
  23. 36
  24. 27
  25. 30
  26. 20
  27. 14
  28. 27
  29. 17
  30. 15
  31. 8
  32. 9
  33. 5
  34. 9
  35. 5
  36. 16
  37. 42
  38. 15
  39. 32
  40. 22

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