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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 205 · 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.Zoya’s father is twice as old as Zoya. The sum of their ages is 30 years. How old is Zoya?
  2. 2.Aarav’s father is twice as old as Aarav. The sum of their ages is 27 years. How old is the father?
  3. 3.9 years ago, Zoya’s mother was twice as old as Zoya. The mother is 21 years old now. How old is Zoya now?
  4. 4.Dev is 5 years older than Meera. In 5 years, the sum of their ages will be 27. How old is Meera now?
  5. 5.In 16 years, Dev will be three times as old as Dev was 6 years ago. How old is Dev now?
  6. 6.Kabir is 2 years older than Karan. In 4 years, the sum of their ages will be 26. How old is Karan now?
  7. 7.In 14 years, Vivaan will be twice as old as Vivaan was 5 years ago. How old is Vivaan now?
  8. 8.Rohan’s father is four times as old as Rohan. The sum of their ages is 65 years. How old is Rohan?
  9. 9.In 6 years, Nisha will be twice as old as Nisha was 2 years ago. How old is Nisha now?
  10. 10.Tara is 7 years older than Isha. In 10 years, the sum of their ages will be 53. How old is Isha now?
  11. 11.Rahul’s father is three times as old as Rahul. The sum of their ages is 28 years. How old is the father?
  12. 12.4 years ago, Aditya’s mother was four times as old as Aditya. The mother is 48 years old now. How old is Aditya now?
  13. 13.Ishaan’s father is five times as old as Ishaan. The sum of their ages is 90 years. How old is the father?
  14. 14.8 years ago, Arjun’s mother was four times as old as Arjun. The mother is 40 years old now. How old is Arjun now?
  15. 15.4 years ago, Ananya’s mother was twice as old as Ananya. The mother is 12 years old now. How old is Ananya now?
  16. 16.Priya’s father is twice as old as Priya. The sum of their ages is 24 years. How old is the father?
  17. 17.In 7 years, Tara will be twice as old as Tara was 5 years ago. How old is Tara now?
  18. 18.Aditya is 6 years older than Tara. In 5 years, the sum of their ages will be 76. How old is Tara now?
  19. 19.5 years ago, Manav’s mother was twice as old as Manav. The mother is 15 years old now. How old is Manav now?
  20. 20.7 years ago, Kavya’s mother was three times as old as Kavya. The mother is 43 years old now. How old is Kavya now?
  21. 21.In 13 years, Karan will be twice as old as Karan was 6 years ago. How old is Karan now?
  22. 22.In 15 years, Aditya will be twice as old as Aditya was 2 years ago. How old is Aditya now?
  23. 23.Zoya’s father is three times as old as Zoya. The sum of their ages is 52 years. How old is the father?
  24. 24.Tara’s father is three times as old as Tara. The sum of their ages is 28 years. How old is Tara?
  25. 25.Karan’s father is twice as old as Karan. The sum of their ages is 27 years. How old is the father?
  26. 26.Isha is 9 years older than Dev. In 4 years, the sum of their ages will be 45. How old is Dev now?
  27. 27.Tara is 7 years older than Pooja. In 5 years, the sum of their ages will be 53. How old is Pooja now?
  28. 28.Meera is 8 years older than Ishaan. In 8 years, the sum of their ages will be 58. How old is Ishaan now?
  29. 29.Nisha is 8 years older than Meera. In 4 years, the sum of their ages will be 32. How old is Meera now?
  30. 30.In 2 years, Rahul will be twice as old as Rahul was 5 years ago. How old is Rahul now?
  31. 31.Arjun is 7 years older than Dev. In 4 years, the sum of their ages will be 73. How old is Dev now?
  32. 32.Isha is 6 years older than Aditya. In 9 years, the sum of their ages will be 76. How old is Aditya now?
  33. 33.Ishaan’s father is four times as old as Ishaan. The sum of their ages is 70 years. How old is Ishaan?
  34. 34.Aarav is 7 years older than Vivaan. In 9 years, the sum of their ages will be 59. How old is Vivaan now?
  35. 35.Arjun’s father is four times as old as Arjun. The sum of their ages is 25 years. How old is the father?
  36. 36.Kavya’s father is four times as old as Kavya. The sum of their ages is 65 years. How old is Kavya?
  37. 37.In 12 years, Ananya will be twice as old as Ananya was 2 years ago. How old is Ananya now?
  38. 38.2 years ago, Aditya’s mother was four times as old as Aditya. The mother is 46 years old now. How old is Aditya now?
  39. 39.Diya’s father is four times as old as Diya. The sum of their ages is 55 years. How old is Diya?
  40. 40.10 years ago, Vivaan’s mother was twice as old as Vivaan. The mother is 32 years old now. How old is Vivaan now?

Answer key

  1. 10
  2. 18
  3. 15
  4. 6
  5. 17
  6. 8
  7. 24
  8. 13
  9. 10
  10. 13
  11. 21
  12. 15
  13. 75
  14. 16
  15. 8
  16. 16
  17. 17
  18. 30
  19. 10
  20. 19
  21. 25
  22. 19
  23. 39
  24. 7
  25. 18
  26. 14
  27. 18
  28. 17
  29. 8
  30. 12
  31. 29
  32. 26
  33. 14
  34. 17
  35. 20
  36. 13
  37. 16
  38. 13
  39. 11
  40. 21

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