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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 269 · 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. 1.2 years ago, Arjun’s mother was three times as old as Arjun. The mother is 14 years old now. How old is Arjun now?
  2. 2.Arjun is 9 years older than Ananya. In 3 years, the sum of their ages will be 37. How old is Ananya now?
  3. 3.7 years ago, Rohan’s mother was three times as old as Rohan. The mother is 37 years old now. How old is Rohan now?
  4. 4.In 7 years, Kabir will be twice as old as Kabir was 3 years ago. How old is Kabir now?
  5. 5.Zoya’s father is four times as old as Zoya. The sum of their ages is 60 years. How old is Zoya?
  6. 6.4 years ago, Kavya’s mother was twice as old as Kavya. The mother is 10 years old now. How old is Kavya now?
  7. 7.In 25 years, Kavya will be twice as old as Kavya was 3 years ago. How old is Kavya now?
  8. 8.6 years ago, Nisha’s mother was twice as old as Nisha. The mother is 18 years old now. How old is Nisha now?
  9. 9.Diya is 7 years older than Farhan. In 3 years, the sum of their ages will be 51. How old is Farhan now?
  10. 10.7 years ago, Priya’s mother was four times as old as Priya. The mother is 55 years old now. How old is Priya now?
  11. 11.Rohan is 3 years older than Aarav. In 4 years, the sum of their ages will be 47. How old is Aarav now?
  12. 12.Karan is 2 years older than Tara. In 7 years, the sum of their ages will be 60. How old is Tara now?
  13. 13.In 14 years, Pooja will be twice as old as Pooja was 3 years ago. How old is Pooja now?
  14. 14.Ananya’s father is three times as old as Ananya. The sum of their ages is 40 years. How old is the father?
  15. 15.In 5 years, Ishaan will be twice as old as Ishaan was 2 years ago. How old is Ishaan now?
  16. 16.Vivaan’s father is three times as old as Vivaan. The sum of their ages is 48 years. How old is the father?
  17. 17.Sneha’s father is four times as old as Sneha. The sum of their ages is 75 years. How old is Sneha?
  18. 18.Tara is 4 years older than Karan. In 9 years, the sum of their ages will be 76. How old is Karan now?
  19. 19.Isha is 2 years older than Vivaan. In 10 years, the sum of their ages will be 62. How old is Vivaan now?
  20. 20.Arjun’s father is four times as old as Arjun. The sum of their ages is 30 years. How old is the father?
  21. 21.In 22 years, Kabir will be three times as old as Kabir was 6 years ago. How old is Kabir now?
  22. 22.Ananya is 8 years older than Priya. In 3 years, the sum of their ages will be 40. How old is Priya now?
  23. 23.Manav is 8 years older than Ishaan. In 3 years, the sum of their ages will be 74. How old is Ishaan now?
  24. 24.In 5 years, Priya will be twice as old as Priya was 5 years ago. How old is Priya now?
  25. 25.In 25 years, Vivaan will be twice as old as Vivaan was 2 years ago. How old is Vivaan now?
  26. 26.Priya’s father is four times as old as Priya. The sum of their ages is 65 years. How old is Priya?
  27. 27.Kavya’s father is four times as old as Kavya. The sum of their ages is 25 years. How old is Kavya?
  28. 28.In 27 years, Diya will be three times as old as Diya was 5 years ago. How old is Diya now?
  29. 29.4 years ago, Meera’s mother was three times as old as Meera. The mother is 16 years old now. How old is Meera now?
  30. 30.2 years ago, Arjun’s mother was twice as old as Arjun. The mother is 8 years old now. How old is Arjun now?
  31. 31.Aarav’s father is five times as old as Aarav. The sum of their ages is 78 years. How old is Aarav?
  32. 32.In 12 years, Meera will be twice as old as Meera was 2 years ago. How old is Meera now?
  33. 33.In 17 years, Sneha will be twice as old as Sneha was 2 years ago. How old is Sneha now?
  34. 34.Priya’s father is twice as old as Priya. The sum of their ages is 33 years. How old is the father?
  35. 35.2 years ago, Ananya’s mother was four times as old as Ananya. The mother is 30 years old now. How old is Ananya now?
  36. 36.6 years ago, Saanvi’s mother was three times as old as Saanvi. The mother is 39 years old now. How old is Saanvi now?
  37. 37.In 12 years, Priya will be twice as old as Priya was 3 years ago. How old is Priya now?
  38. 38.Zoya is 8 years older than Priya. In 6 years, the sum of their ages will be 76. How old is Priya now?
  39. 39.Saanvi’s father is five times as old as Saanvi. The sum of their ages is 36 years. How old is the father?
  40. 40.8 years ago, Ananya’s mother was four times as old as Ananya. The mother is 48 years old now. How old is Ananya now?

Answer key

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

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