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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 488 · 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 five times as old as Aarav. The sum of their ages is 72 years. How old is the father?
  2. 2.5 years ago, Ananya’s mother was twice as old as Ananya. The mother is 23 years old now. How old is Ananya now?
  3. 3.Zoya’s father is four times as old as Zoya. The sum of their ages is 75 years. How old is Zoya?
  4. 4.Kabir’s father is twice as old as Kabir. The sum of their ages is 27 years. How old is Kabir?
  5. 5.Dev’s father is twice as old as Dev. The sum of their ages is 42 years. How old is the father?
  6. 6.Aditya’s father is four times as old as Aditya. The sum of their ages is 65 years. How old is Aditya?
  7. 7.8 years ago, Sneha’s mother was twice as old as Sneha. The mother is 16 years old now. How old is Sneha now?
  8. 8.6 years ago, Vivaan’s mother was three times as old as Vivaan. The mother is 27 years old now. How old is Vivaan now?
  9. 9.In 27 years, Aditya will be twice as old as Aditya was 3 years ago. How old is Aditya now?
  10. 10.9 years ago, Kabir’s mother was three times as old as Kabir. The mother is 42 years old now. How old is Kabir now?
  11. 11.6 years ago, Ananya’s mother was twice as old as Ananya. The mother is 14 years old now. How old is Ananya now?
  12. 12.Aditya is 4 years older than Kabir. In 2 years, the sum of their ages will be 44. How old is Kabir now?
  13. 13.Manav’s father is twice as old as Manav. The sum of their ages is 24 years. How old is the father?
  14. 14.Diya’s father is twice as old as Diya. The sum of their ages is 42 years. How old is Diya?
  15. 15.Kabir is 2 years older than Rohan. In 10 years, the sum of their ages will be 72. How old is Rohan now?
  16. 16.Kavya’s father is four times as old as Kavya. The sum of their ages is 50 years. How old is Kavya?
  17. 17.Arjun’s father is five times as old as Arjun. The sum of their ages is 42 years. How old is Arjun?
  18. 18.Arjun’s father is three times as old as Arjun. The sum of their ages is 44 years. How old is Arjun?
  19. 19.4 years ago, Kavya’s mother was twice as old as Kavya. The mother is 26 years old now. How old is Kavya now?
  20. 20.2 years ago, Ananya’s mother was twice as old as Ananya. The mother is 12 years old now. How old is Ananya now?
  21. 21.8 years ago, Kavya’s mother was three times as old as Kavya. The mother is 38 years old now. How old is Kavya now?
  22. 22.Tara is 3 years older than Isha. In 8 years, the sum of their ages will be 47. How old is Isha now?
  23. 23.In 30 years, Arjun will be twice as old as Arjun was 2 years ago. How old is Arjun now?
  24. 24.Arjun is 5 years older than Sneha. In 10 years, the sum of their ages will be 55. How old is Sneha now?
  25. 25.Aditya’s father is three times as old as Aditya. The sum of their ages is 24 years. How old is the father?
  26. 26.Aarav is 7 years older than Arjun. In 4 years, the sum of their ages will be 59. How old is Arjun now?
  27. 27.7 years ago, Tara’s mother was three times as old as Tara. The mother is 22 years old now. How old is Tara now?
  28. 28.Kabir’s father is three times as old as Kabir. The sum of their ages is 40 years. How old is the father?
  29. 29.Ananya’s father is three times as old as Ananya. The sum of their ages is 48 years. How old is the father?
  30. 30.10 years ago, Ishaan’s mother was twice as old as Ishaan. The mother is 28 years old now. How old is Ishaan now?
  31. 31.Kavya’s father is three times as old as Kavya. The sum of their ages is 48 years. How old is the father?
  32. 32.3 years ago, Priya’s mother was twice as old as Priya. The mother is 21 years old now. How old is Priya now?
  33. 33.In 20 years, Ishaan will be twice as old as Ishaan was 6 years ago. How old is Ishaan now?
  34. 34.Dev’s father is twice as old as Dev. The sum of their ages is 24 years. How old is Dev?
  35. 35.In 8 years, Meera will be three times as old as Meera was 4 years ago. How old is Meera now?
  36. 36.Rohan is 7 years older than Rahul. In 5 years, the sum of their ages will be 57. How old is Rahul now?
  37. 37.Ananya’s father is four times as old as Ananya. The sum of their ages is 45 years. How old is the father?
  38. 38.7 years ago, Rohan’s mother was four times as old as Rohan. The mother is 35 years old now. How old is Rohan now?
  39. 39.Aarav is 5 years older than Nisha. In 3 years, the sum of their ages will be 51. How old is Nisha now?
  40. 40.Tara’s father is four times as old as Tara. The sum of their ages is 45 years. How old is Tara?

Answer key

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

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