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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 301 · 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 twice as old as Aarav. The sum of their ages is 18 years. How old is the father?
  2. 2.2 years ago, Priya’s mother was three times as old as Priya. The mother is 23 years old now. How old is Priya now?
  3. 3.Kabir is 8 years older than Saanvi. In 7 years, the sum of their ages will be 58. How old is Saanvi now?
  4. 4.Kabir is 7 years older than Ananya. In 9 years, the sum of their ages will be 61. How old is Ananya now?
  5. 5.6 years ago, Tara’s mother was three times as old as Tara. The mother is 39 years old now. How old is Tara now?
  6. 6.In 3 years, Kavya will be twice as old as Kavya was 5 years ago. How old is Kavya now?
  7. 7.Dev’s father is three times as old as Dev. The sum of their ages is 36 years. How old is Dev?
  8. 8.In 21 years, Kavya will be twice as old as Kavya was 6 years ago. How old is Kavya now?
  9. 9.Tara is 10 years older than Nisha. In 9 years, the sum of their ages will be 42. How old is Nisha now?
  10. 10.Tara’s father is four times as old as Tara. The sum of their ages is 25 years. How old is the father?
  11. 11.Ananya’s father is five times as old as Ananya. The sum of their ages is 84 years. How old is the father?
  12. 12.8 years ago, Diya’s mother was twice as old as Diya. The mother is 30 years old now. How old is Diya now?
  13. 13.Ishaan’s father is five times as old as Ishaan. The sum of their ages is 54 years. How old is the father?
  14. 14.6 years ago, Pooja’s mother was three times as old as Pooja. The mother is 27 years old now. How old is Pooja now?
  15. 15.5 years ago, Zoya’s mother was twice as old as Zoya. The mother is 29 years old now. How old is Zoya now?
  16. 16.3 years ago, Dev’s mother was twice as old as Dev. The mother is 21 years old now. How old is Dev now?
  17. 17.Dev is 8 years older than Diya. In 2 years, the sum of their ages will be 30. How old is Diya now?
  18. 18.Zoya’s father is twice as old as Zoya. The sum of their ages is 42 years. How old is Zoya?
  19. 19.Karan’s father is four times as old as Karan. The sum of their ages is 55 years. How old is the father?
  20. 20.2 years ago, Aditya’s mother was four times as old as Aditya. The mother is 26 years old now. How old is Aditya now?
  21. 21.7 years ago, Arjun’s mother was twice as old as Arjun. The mother is 19 years old now. How old is Arjun now?
  22. 22.5 years ago, Arjun’s mother was three times as old as Arjun. The mother is 41 years old now. How old is Arjun now?
  23. 23.Diya’s father is five times as old as Diya. The sum of their ages is 84 years. How old is Diya?
  24. 24.Vivaan’s father is five times as old as Vivaan. The sum of their ages is 30 years. How old is Vivaan?
  25. 25.In 20 years, Isha will be three times as old as Isha was 4 years ago. How old is Isha now?
  26. 26.2 years ago, Vivaan’s mother was twice as old as Vivaan. The mother is 26 years old now. How old is Vivaan now?
  27. 27.10 years ago, Aarav’s mother was four times as old as Aarav. The mother is 34 years old now. How old is Aarav now?
  28. 28.In 10 years, Nisha will be twice as old as Nisha was 2 years ago. How old is Nisha now?
  29. 29.Rohan’s father is four times as old as Rohan. The sum of their ages is 75 years. How old is Rohan?
  30. 30.In 12 years, Nisha will be twice as old as Nisha was 3 years ago. How old is Nisha now?
  31. 31.Vivaan is 10 years older than Ananya. In 2 years, the sum of their ages will be 52. How old is Ananya now?
  32. 32.6 years ago, Dev’s mother was three times as old as Dev. The mother is 21 years old now. How old is Dev now?
  33. 33.Dev is 7 years older than Manav. In 9 years, the sum of their ages will be 53. How old is Manav now?
  34. 34.Priya’s father is twice as old as Priya. The sum of their ages is 24 years. How old is Priya?
  35. 35.In 24 years, Zoya will be twice as old as Zoya was 2 years ago. How old is Zoya now?
  36. 36.Rohan is 8 years older than Aditya. In 8 years, the sum of their ages will be 52. How old is Aditya now?
  37. 37.5 years ago, Isha’s mother was twice as old as Isha. The mother is 21 years old now. How old is Isha now?
  38. 38.8 years ago, Rahul’s mother was twice as old as Rahul. The mother is 28 years old now. How old is Rahul now?
  39. 39.8 years ago, Rohan’s mother was four times as old as Rohan. The mother is 48 years old now. How old is Rohan now?
  40. 40.Isha is 7 years older than Meera. In 5 years, the sum of their ages will be 45. How old is Meera now?

Answer key

  1. 12
  2. 9
  3. 18
  4. 18
  5. 17
  6. 13
  7. 9
  8. 33
  9. 7
  10. 20
  11. 70
  12. 19
  13. 45
  14. 13
  15. 17
  16. 12
  17. 9
  18. 14
  19. 44
  20. 8
  21. 13
  22. 17
  23. 14
  24. 5
  25. 16
  26. 14
  27. 16
  28. 14
  29. 15
  30. 18
  31. 19
  32. 11
  33. 14
  34. 8
  35. 28
  36. 14
  37. 13
  38. 18
  39. 18
  40. 14

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