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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 841 · 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 twice as old as Arjun. The sum of their ages is 18 years. How old is Arjun?
  2. 2.6 years ago, Arjun’s mother was twice as old as Arjun. The mother is 16 years old now. How old is Arjun now?
  3. 3.In 16 years, Saanvi will be twice as old as Saanvi was 5 years ago. How old is Saanvi now?
  4. 4.In 15 years, Vivaan will be three times as old as Vivaan was 5 years ago. How old is Vivaan now?
  5. 5.Isha is 2 years older than Pooja. In 6 years, the sum of their ages will be 46. How old is Pooja now?
  6. 6.Tara is 9 years older than Rahul. In 7 years, the sum of their ages will be 47. How old is Rahul now?
  7. 7.In 9 years, Arjun will be twice as old as Arjun was 2 years ago. How old is Arjun now?
  8. 8.3 years ago, Aarav’s mother was twice as old as Aarav. The mother is 13 years old now. How old is Aarav now?
  9. 9.Priya’s father is twice as old as Priya. The sum of their ages is 45 years. How old is Priya?
  10. 10.Farhan is 9 years older than Rahul. In 6 years, the sum of their ages will be 51. How old is Rahul now?
  11. 11.Vivaan is 3 years older than Isha. In 4 years, the sum of their ages will be 43. How old is Isha now?
  12. 12.Aarav is 6 years older than Rohan. In 4 years, the sum of their ages will be 28. How old is Rohan now?
  13. 13.8 years ago, Farhan’s mother was three times as old as Farhan. The mother is 38 years old now. How old is Farhan now?
  14. 14.Isha’s father is four times as old as Isha. The sum of their ages is 30 years. How old is the father?
  15. 15.In 29 years, Isha will be twice as old as Isha was 3 years ago. How old is Isha now?
  16. 16.Sneha is 2 years older than Nisha. In 10 years, the sum of their ages will be 76. How old is Nisha now?
  17. 17.Tara is 4 years older than Kabir. In 5 years, the sum of their ages will be 46. How old is Kabir now?
  18. 18.6 years ago, Aditya’s mother was twice as old as Aditya. The mother is 18 years old now. How old is Aditya now?
  19. 19.Nisha is 7 years older than Aditya. In 2 years, the sum of their ages will be 49. How old is Aditya now?
  20. 20.6 years ago, Ananya’s mother was four times as old as Ananya. The mother is 54 years old now. How old is Ananya now?
  21. 21.Aditya’s father is twice as old as Aditya. The sum of their ages is 33 years. How old is the father?
  22. 22.Aarav’s father is twice as old as Aarav. The sum of their ages is 24 years. How old is Aarav?
  23. 23.Farhan’s father is three times as old as Farhan. The sum of their ages is 20 years. How old is Farhan?
  24. 24.In 29 years, Pooja will be three times as old as Pooja was 5 years ago. How old is Pooja now?
  25. 25.Rahul’s father is three times as old as Rahul. The sum of their ages is 40 years. How old is Rahul?
  26. 26.Kabir’s father is three times as old as Kabir. The sum of their ages is 56 years. How old is Kabir?
  27. 27.Rahul’s father is five times as old as Rahul. The sum of their ages is 72 years. How old is Rahul?
  28. 28.Arjun is 7 years older than Dev. In 5 years, the sum of their ages will be 43. How old is Dev now?
  29. 29.Zoya’s father is twice as old as Zoya. The sum of their ages is 33 years. How old is Zoya?
  30. 30.Pooja’s father is twice as old as Pooja. The sum of their ages is 39 years. How old is Pooja?
  31. 31.Sneha’s father is three times as old as Sneha. The sum of their ages is 60 years. How old is the father?
  32. 32.4 years ago, Sneha’s mother was four times as old as Sneha. The mother is 44 years old now. How old is Sneha now?
  33. 33.8 years ago, Pooja’s mother was four times as old as Pooja. The mother is 40 years old now. How old is Pooja now?
  34. 34.Farhan is 8 years older than Kavya. In 7 years, the sum of their ages will be 70. How old is Kavya now?
  35. 35.In 7 years, Karan will be three times as old as Karan was 5 years ago. How old is Karan now?
  36. 36.Diya is 7 years older than Karan. In 10 years, the sum of their ages will be 69. How old is Karan now?
  37. 37.Isha’s father is twice as old as Isha. The sum of their ages is 18 years. How old is Isha?
  38. 38.2 years ago, Meera’s mother was four times as old as Meera. The mother is 42 years old now. How old is Meera now?
  39. 39.9 years ago, Rohan’s mother was three times as old as Rohan. The mother is 21 years old now. How old is Rohan now?
  40. 40.Priya is 5 years older than Pooja. In 6 years, the sum of their ages will be 35. How old is Pooja now?

Answer key

  1. 6
  2. 11
  3. 26
  4. 15
  5. 16
  6. 12
  7. 13
  8. 8
  9. 15
  10. 15
  11. 16
  12. 7
  13. 18
  14. 24
  15. 35
  16. 27
  17. 16
  18. 12
  19. 19
  20. 18
  21. 22
  22. 8
  23. 5
  24. 22
  25. 10
  26. 14
  27. 12
  28. 13
  29. 11
  30. 13
  31. 45
  32. 14
  33. 16
  34. 24
  35. 11
  36. 21
  37. 6
  38. 12
  39. 13
  40. 9

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