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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 457 · 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 four times as old as Arjun. The sum of their ages is 45 years. How old is the father?
  2. 2.6 years ago, Isha’s mother was twice as old as Isha. The mother is 18 years old now. How old is Isha now?
  3. 3.Pooja is 9 years older than Dev. In 4 years, the sum of their ages will be 75. How old is Dev now?
  4. 4.Priya is 8 years older than Pooja. In 10 years, the sum of their ages will be 76. How old is Pooja now?
  5. 5.Farhan’s father is twice as old as Farhan. The sum of their ages is 18 years. How old is Farhan?
  6. 6.5 years ago, Kavya’s mother was twice as old as Kavya. The mother is 17 years old now. How old is Kavya now?
  7. 7.Isha is 9 years older than Zoya. In 7 years, the sum of their ages will be 75. How old is Zoya now?
  8. 8.Saanvi is 10 years older than Nisha. In 9 years, the sum of their ages will be 54. How old is Nisha now?
  9. 9.Isha is 8 years older than Kavya. In 6 years, the sum of their ages will be 40. How old is Kavya now?
  10. 10.In 4 years, Sneha will be twice as old as Sneha was 6 years ago. How old is Sneha now?
  11. 11.10 years ago, Arjun’s mother was three times as old as Arjun. The mother is 34 years old now. How old is Arjun now?
  12. 12.In 6 years, Diya will be twice as old as Diya was 3 years ago. How old is Diya now?
  13. 13.8 years ago, Farhan’s mother was four times as old as Farhan. The mother is 24 years old now. How old is Farhan now?
  14. 14.7 years ago, Nisha’s mother was twice as old as Nisha. The mother is 15 years old now. How old is Nisha now?
  15. 15.Nisha’s father is twice as old as Nisha. The sum of their ages is 39 years. How old is Nisha?
  16. 16.8 years ago, Zoya’s mother was three times as old as Zoya. The mother is 38 years old now. How old is Zoya now?
  17. 17.In 11 years, Zoya will be twice as old as Zoya was 2 years ago. How old is Zoya now?
  18. 18.In 8 years, Aditya will be twice as old as Aditya was 6 years ago. How old is Aditya now?
  19. 19.Ananya is 5 years older than Manav. In 2 years, the sum of their ages will be 47. How old is Manav now?
  20. 20.Arjun is 2 years older than Sneha. In 5 years, the sum of their ages will be 44. How old is Sneha now?
  21. 21.Kabir is 10 years older than Rahul. In 4 years, the sum of their ages will be 34. How old is Rahul now?
  22. 22.Rohan is 9 years older than Meera. In 6 years, the sum of their ages will be 81. How old is Meera now?
  23. 23.7 years ago, Aditya’s mother was three times as old as Aditya. The mother is 22 years old now. How old is Aditya now?
  24. 24.In 21 years, Meera will be three times as old as Meera was 5 years ago. How old is Meera now?
  25. 25.Saanvi is 10 years older than Zoya. In 3 years, the sum of their ages will be 58. How old is Zoya now?
  26. 26.Vivaan is 10 years older than Ananya. In 6 years, the sum of their ages will be 68. How old is Ananya now?
  27. 27.Ananya’s father is twice as old as Ananya. The sum of their ages is 33 years. How old is the father?
  28. 28.Ananya’s father is twice as old as Ananya. The sum of their ages is 42 years. How old is Ananya?
  29. 29.In 6 years, Aarav will be twice as old as Aarav was 4 years ago. How old is Aarav now?
  30. 30.10 years ago, Kabir’s mother was twice as old as Kabir. The mother is 32 years old now. How old is Kabir now?
  31. 31.4 years ago, Zoya’s mother was twice as old as Zoya. The mother is 14 years old now. How old is Zoya now?
  32. 32.Manav’s father is four times as old as Manav. The sum of their ages is 70 years. How old is Manav?
  33. 33.7 years ago, Ananya’s mother was twice as old as Ananya. The mother is 25 years old now. How old is Ananya now?
  34. 34.Zoya is 7 years older than Manav. In 3 years, the sum of their ages will be 43. How old is Manav now?
  35. 35.Vivaan is 5 years older than Aarav. In 2 years, the sum of their ages will be 57. How old is Aarav now?
  36. 36.Rahul is 3 years older than Isha. In 5 years, the sum of their ages will be 69. How old is Isha now?
  37. 37.Meera is 2 years older than Manav. In 7 years, the sum of their ages will be 60. How old is Manav now?
  38. 38.7 years ago, Priya’s mother was twice as old as Priya. The mother is 13 years old now. How old is Priya now?
  39. 39.In 15 years, Ananya will be twice as old as Ananya was 5 years ago. How old is Ananya now?
  40. 40.Rohan is 3 years older than Dev. In 6 years, the sum of their ages will be 49. How old is Dev now?

Answer key

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

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