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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 979 · 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 four times as old as Aarav. The sum of their ages is 65 years. How old is Aarav?
  2. 2.9 years ago, Arjun’s mother was four times as old as Arjun. The mother is 29 years old now. How old is Arjun now?
  3. 3.8 years ago, Farhan’s mother was three times as old as Farhan. The mother is 29 years old now. How old is Farhan now?
  4. 4.Kavya’s father is five times as old as Kavya. The sum of their ages is 78 years. How old is Kavya?
  5. 5.Vivaan is 8 years older than Diya. In 7 years, the sum of their ages will be 68. How old is Diya now?
  6. 6.Sneha is 8 years older than Diya. In 5 years, the sum of their ages will be 30. How old is Diya now?
  7. 7.In 20 years, Arjun will be three times as old as Arjun was 6 years ago. How old is Arjun now?
  8. 8.10 years ago, Aditya’s mother was four times as old as Aditya. The mother is 26 years old now. How old is Aditya now?
  9. 9.3 years ago, Aditya’s mother was four times as old as Aditya. The mother is 35 years old now. How old is Aditya now?
  10. 10.Arjun’s father is four times as old as Arjun. The sum of their ages is 40 years. How old is the father?
  11. 11.Aarav’s father is three times as old as Aarav. The sum of their ages is 36 years. How old is Aarav?
  12. 12.Kavya’s father is five times as old as Kavya. The sum of their ages is 30 years. How old is the father?
  13. 13.Ananya’s father is four times as old as Ananya. The sum of their ages is 25 years. How old is the father?
  14. 14.8 years ago, Farhan’s mother was twice as old as Farhan. The mother is 18 years old now. How old is Farhan now?
  15. 15.7 years ago, Isha’s mother was four times as old as Isha. The mother is 55 years old now. How old is Isha now?
  16. 16.Rahul’s father is five times as old as Rahul. The sum of their ages is 36 years. How old is the father?
  17. 17.4 years ago, Manav’s mother was four times as old as Manav. The mother is 40 years old now. How old is Manav now?
  18. 18.Ananya’s father is three times as old as Ananya. The sum of their ages is 20 years. How old is the father?
  19. 19.Arjun is 10 years older than Priya. In 7 years, the sum of their ages will be 66. How old is Priya now?
  20. 20.Diya’s father is twice as old as Diya. The sum of their ages is 18 years. How old is the father?
  21. 21.In 10 years, Zoya will be three times as old as Zoya was 4 years ago. How old is Zoya now?
  22. 22.8 years ago, Ananya’s mother was three times as old as Ananya. The mother is 20 years old now. How old is Ananya now?
  23. 23.Ananya is 9 years older than Rohan. In 7 years, the sum of their ages will be 39. How old is Rohan now?
  24. 24.7 years ago, Aditya’s mother was four times as old as Aditya. The mother is 55 years old now. How old is Aditya now?
  25. 25.4 years ago, Rohan’s mother was twice as old as Rohan. The mother is 10 years old now. How old is Rohan now?
  26. 26.3 years ago, Meera’s mother was three times as old as Meera. The mother is 15 years old now. How old is Meera now?
  27. 27.Nisha is 4 years older than Zoya. In 5 years, the sum of their ages will be 64. How old is Zoya now?
  28. 28.Sneha’s father is five times as old as Sneha. The sum of their ages is 66 years. How old is Sneha?
  29. 29.Isha’s father is three times as old as Isha. The sum of their ages is 44 years. How old is the father?
  30. 30.6 years ago, Rahul’s mother was three times as old as Rahul. The mother is 24 years old now. How old is Rahul now?
  31. 31.Ishaan’s father is four times as old as Ishaan. The sum of their ages is 70 years. How old is Ishaan?
  32. 32.2 years ago, Kabir’s mother was three times as old as Kabir. The mother is 11 years old now. How old is Kabir now?
  33. 33.Farhan’s father is five times as old as Farhan. The sum of their ages is 72 years. How old is the father?
  34. 34.Diya’s father is five times as old as Diya. The sum of their ages is 66 years. How old is the father?
  35. 35.In 17 years, Kavya will be twice as old as Kavya was 5 years ago. How old is Kavya now?
  36. 36.3 years ago, Diya’s mother was twice as old as Diya. The mother is 11 years old now. How old is Diya now?
  37. 37.Ishaan is 3 years older than Meera. In 4 years, the sum of their ages will be 29. How old is Meera now?
  38. 38.Saanvi’s father is three times as old as Saanvi. The sum of their ages is 20 years. How old is the father?
  39. 39.Kavya’s father is three times as old as Kavya. The sum of their ages is 28 years. How old is Kavya?
  40. 40.Farhan is 5 years older than Priya. In 4 years, the sum of their ages will be 63. How old is Priya now?

Answer key

  1. 13
  2. 14
  3. 15
  4. 13
  5. 23
  6. 6
  7. 19
  8. 14
  9. 11
  10. 32
  11. 9
  12. 25
  13. 20
  14. 13
  15. 19
  16. 30
  17. 13
  18. 15
  19. 21
  20. 12
  21. 11
  22. 12
  23. 8
  24. 19
  25. 7
  26. 7
  27. 25
  28. 11
  29. 33
  30. 12
  31. 14
  32. 5
  33. 60
  34. 55
  35. 27
  36. 7
  37. 9
  38. 15
  39. 7
  40. 25

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