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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 498 · 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.

NameDateTime takenScore ___ / 40
  1. 1.Isha’s father is five times as old as Isha. The sum of their ages is 66 years. How old is the father?
  2. 2.Saanvi’s father is twice as old as Saanvi. The sum of their ages is 21 years. How old is the father?
  3. 3.6 years ago, Aditya’s mother was twice as old as Aditya. The mother is 14 years old now. How old is Aditya now?
  4. 4.Tara is 6 years older than Vivaan. In 6 years, the sum of their ages will be 44. How old is Vivaan now?
  5. 5.Kavya is 10 years older than Manav. In 7 years, the sum of their ages will be 72. How old is Manav now?
  6. 6.Diya is 9 years older than Sneha. In 9 years, the sum of their ages will be 67. How old is Sneha now?
  7. 7.Sneha is 9 years older than Diya. In 3 years, the sum of their ages will be 63. How old is Diya now?
  8. 8.In 24 years, Priya will be twice as old as Priya was 3 years ago. How old is Priya now?
  9. 9.Ishaan’s father is four times as old as Ishaan. The sum of their ages is 60 years. How old is Ishaan?
  10. 10.5 years ago, Aditya’s mother was three times as old as Aditya. The mother is 35 years old now. How old is Aditya now?
  11. 11.10 years ago, Tara’s mother was three times as old as Tara. The mother is 37 years old now. How old is Tara now?
  12. 12.2 years ago, Rahul’s mother was three times as old as Rahul. The mother is 32 years old now. How old is Rahul now?
  13. 13.2 years ago, Arjun’s mother was twice as old as Arjun. The mother is 10 years old now. How old is Arjun now?
  14. 14.Vivaan is 10 years older than Manav. In 9 years, the sum of their ages will be 84. How old is Manav now?
  15. 15.Isha’s father is four times as old as Isha. The sum of their ages is 25 years. How old is the father?
  16. 16.Farhan is 4 years older than Priya. In 4 years, the sum of their ages will be 24. How old is Priya now?
  17. 17.Kavya is 5 years older than Isha. In 3 years, the sum of their ages will be 69. How old is Isha now?
  18. 18.Tara is 6 years older than Arjun. In 3 years, the sum of their ages will be 36. How old is Arjun now?
  19. 19.Ananya is 2 years older than Rohan. In 7 years, the sum of their ages will be 44. How old is Rohan now?
  20. 20.10 years ago, Aditya’s mother was four times as old as Aditya. The mother is 26 years old now. How old is Aditya now?
  21. 21.Kabir is 2 years older than Farhan. In 8 years, the sum of their ages will be 40. How old is Farhan now?
  22. 22.10 years ago, Priya’s mother was four times as old as Priya. The mother is 38 years old now. How old is Priya now?
  23. 23.In 16 years, Arjun will be three times as old as Arjun was 2 years ago. How old is Arjun now?
  24. 24.4 years ago, Nisha’s mother was three times as old as Nisha. The mother is 31 years old now. How old is Nisha now?
  25. 25.In 23 years, Kavya will be twice as old as Kavya was 4 years ago. How old is Kavya now?
  26. 26.Kabir is 2 years older than Diya. In 3 years, the sum of their ages will be 36. How old is Diya now?
  27. 27.Arjun’s father is four times as old as Arjun. The sum of their ages is 25 years. How old is the father?
  28. 28.Aarav is 4 years older than Tara. In 10 years, the sum of their ages will be 48. How old is Tara now?
  29. 29.Saanvi’s father is twice as old as Saanvi. The sum of their ages is 36 years. How old is Saanvi?
  30. 30.In 4 years, Saanvi will be twice as old as Saanvi was 5 years ago. How old is Saanvi now?
  31. 31.Nisha’s father is three times as old as Nisha. The sum of their ages is 44 years. How old is the father?
  32. 32.Aarav is 6 years older than Nisha. In 4 years, the sum of their ages will be 34. How old is Nisha now?
  33. 33.Vivaan is 8 years older than Manav. In 7 years, the sum of their ages will be 40. How old is Manav now?
  34. 34.Dev’s father is five times as old as Dev. The sum of their ages is 84 years. How old is Dev?
  35. 35.Vivaan’s father is three times as old as Vivaan. The sum of their ages is 24 years. How old is the father?
  36. 36.2 years ago, Vivaan’s mother was four times as old as Vivaan. The mother is 38 years old now. How old is Vivaan now?
  37. 37.2 years ago, Sneha’s mother was three times as old as Sneha. The mother is 14 years old now. How old is Sneha now?
  38. 38.7 years ago, Zoya’s mother was twice as old as Zoya. The mother is 13 years old now. How old is Zoya now?
  39. 39.In 8 years, Aditya will be twice as old as Aditya was 5 years ago. How old is Aditya now?
  40. 40.Kabir’s father is four times as old as Kabir. The sum of their ages is 35 years. How old is Kabir?

Answer key

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

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