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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 248 · 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.In 24 years, Arjun will be twice as old as Arjun was 2 years ago. How old is Arjun now?
  2. 2.Kavya’s father is three times as old as Kavya. The sum of their ages is 48 years. How old is Kavya?
  3. 3.In 29 years, Tara will be three times as old as Tara was 3 years ago. How old is Tara now?
  4. 4.6 years ago, Tara’s mother was four times as old as Tara. The mother is 18 years old now. How old is Tara now?
  5. 5.Aarav is 10 years older than Zoya. In 5 years, the sum of their ages will be 34. How old is Zoya now?
  6. 6.Diya’s father is twice as old as Diya. The sum of their ages is 30 years. How old is the father?
  7. 7.Zoya’s father is four times as old as Zoya. The sum of their ages is 65 years. How old is the father?
  8. 8.Aarav’s father is four times as old as Aarav. The sum of their ages is 45 years. How old is the father?
  9. 9.Karan’s father is twice as old as Karan. The sum of their ages is 45 years. How old is Karan?
  10. 10.Diya is 7 years older than Tara. In 9 years, the sum of their ages will be 67. How old is Tara now?
  11. 11.In 18 years, Aarav will be twice as old as Aarav was 2 years ago. How old is Aarav now?
  12. 12.In 20 years, Rahul will be twice as old as Rahul was 2 years ago. How old is Rahul now?
  13. 13.Rohan’s father is four times as old as Rohan. The sum of their ages is 65 years. How old is Rohan?
  14. 14.8 years ago, Aditya’s mother was twice as old as Aditya. The mother is 28 years old now. How old is Aditya now?
  15. 15.Zoya’s father is twice as old as Zoya. The sum of their ages is 21 years. How old is the father?
  16. 16.Manav’s father is three times as old as Manav. The sum of their ages is 44 years. How old is Manav?
  17. 17.10 years ago, Aarav’s mother was twice as old as Aarav. The mother is 24 years old now. How old is Aarav now?
  18. 18.4 years ago, Priya’s mother was three times as old as Priya. The mother is 16 years old now. How old is Priya now?
  19. 19.7 years ago, Vivaan’s mother was three times as old as Vivaan. The mother is 19 years old now. How old is Vivaan now?
  20. 20.2 years ago, Vivaan’s mother was twice as old as Vivaan. The mother is 24 years old now. How old is Vivaan now?
  21. 21.In 12 years, Priya will be twice as old as Priya was 2 years ago. How old is Priya now?
  22. 22.In 29 years, Zoya will be twice as old as Zoya was 3 years ago. How old is Zoya now?
  23. 23.Dev’s father is five times as old as Dev. The sum of their ages is 78 years. How old is Dev?
  24. 24.In 27 years, Manav will be twice as old as Manav was 3 years ago. How old is Manav now?
  25. 25.Rahul’s father is three times as old as Rahul. The sum of their ages is 40 years. How old is the father?
  26. 26.In 15 years, Pooja will be twice as old as Pooja was 2 years ago. How old is Pooja now?
  27. 27.10 years ago, Sneha’s mother was twice as old as Sneha. The mother is 34 years old now. How old is Sneha now?
  28. 28.In 6 years, Aditya will be twice as old as Aditya was 5 years ago. How old is Aditya now?
  29. 29.Zoya is 8 years older than Rahul. In 6 years, the sum of their ages will be 74. How old is Rahul now?
  30. 30.Kavya is 3 years older than Kabir. In 3 years, the sum of their ages will be 31. How old is Kabir now?
  31. 31.Kavya’s father is three times as old as Kavya. The sum of their ages is 24 years. How old is the father?
  32. 32.Ishaan is 7 years older than Arjun. In 7 years, the sum of their ages will be 51. How old is Arjun now?
  33. 33.Karan’s father is twice as old as Karan. The sum of their ages is 30 years. How old is the father?
  34. 34.In 6 years, Diya will be twice as old as Diya was 4 years ago. How old is Diya now?
  35. 35.Ananya is 6 years older than Dev. In 4 years, the sum of their ages will be 48. How old is Dev now?
  36. 36.Farhan’s father is twice as old as Farhan. The sum of their ages is 18 years. How old is the father?
  37. 37.Ishaan’s father is three times as old as Ishaan. The sum of their ages is 36 years. How old is the father?
  38. 38.3 years ago, Arjun’s mother was three times as old as Arjun. The mother is 39 years old now. How old is Arjun now?
  39. 39.Kavya’s father is twice as old as Kavya. The sum of their ages is 33 years. How old is Kavya?
  40. 40.2 years ago, Meera’s mother was four times as old as Meera. The mother is 22 years old now. How old is Meera now?

Answer key

  1. 28
  2. 12
  3. 19
  4. 9
  5. 7
  6. 20
  7. 52
  8. 36
  9. 15
  10. 21
  11. 22
  12. 24
  13. 13
  14. 18
  15. 14
  16. 11
  17. 17
  18. 8
  19. 11
  20. 13
  21. 16
  22. 35
  23. 13
  24. 33
  25. 30
  26. 19
  27. 22
  28. 16
  29. 27
  30. 11
  31. 18
  32. 15
  33. 20
  34. 14
  35. 17
  36. 12
  37. 27
  38. 15
  39. 11
  40. 7

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