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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 802 · 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.Nisha’s father is four times as old as Nisha. The sum of their ages is 25 years. How old is Nisha?
  2. 2.In 27 years, Vivaan will be twice as old as Vivaan was 4 years ago. How old is Vivaan now?
  3. 3.7 years ago, Tara’s mother was four times as old as Tara. The mother is 19 years old now. How old is Tara now?
  4. 4.6 years ago, Rohan’s mother was twice as old as Rohan. The mother is 16 years old now. How old is Rohan now?
  5. 5.Ishaan is 3 years older than Kavya. In 5 years, the sum of their ages will be 41. How old is Kavya now?
  6. 6.In 18 years, Arjun will be three times as old as Arjun was 2 years ago. How old is Arjun now?
  7. 7.Tara’s father is five times as old as Tara. The sum of their ages is 42 years. How old is Tara?
  8. 8.Arjun’s father is three times as old as Arjun. The sum of their ages is 32 years. How old is the father?
  9. 9.5 years ago, Karan’s mother was four times as old as Karan. The mother is 53 years old now. How old is Karan now?
  10. 10.7 years ago, Aditya’s mother was four times as old as Aditya. The mother is 39 years old now. How old is Aditya now?
  11. 11.10 years ago, Ishaan’s mother was twice as old as Ishaan. The mother is 20 years old now. How old is Ishaan now?
  12. 12.5 years ago, Ananya’s mother was twice as old as Ananya. The mother is 21 years old now. How old is Ananya now?
  13. 13.Vivaan is 10 years older than Ananya. In 5 years, the sum of their ages will be 74. How old is Ananya now?
  14. 14.In 10 years, Priya will be three times as old as Priya was 2 years ago. How old is Priya now?
  15. 15.Ishaan is 7 years older than Vivaan. In 8 years, the sum of their ages will be 53. How old is Vivaan now?
  16. 16.5 years ago, Ishaan’s mother was twice as old as Ishaan. The mother is 25 years old now. How old is Ishaan now?
  17. 17.Zoya is 2 years older than Dev. In 6 years, the sum of their ages will be 74. How old is Dev now?
  18. 18.In 3 years, Nisha will be twice as old as Nisha was 4 years ago. How old is Nisha now?
  19. 19.4 years ago, Isha’s mother was twice as old as Isha. The mother is 10 years old now. How old is Isha now?
  20. 20.9 years ago, Vivaan’s mother was three times as old as Vivaan. The mother is 18 years old now. How old is Vivaan now?
  21. 21.Rohan’s father is three times as old as Rohan. The sum of their ages is 20 years. How old is the father?
  22. 22.Pooja is 3 years older than Nisha. In 7 years, the sum of their ages will be 29. How old is Nisha now?
  23. 23.6 years ago, Diya’s mother was twice as old as Diya. The mother is 28 years old now. How old is Diya now?
  24. 24.In 27 years, Kabir will be twice as old as Kabir was 4 years ago. How old is Kabir now?
  25. 25.Kabir’s father is five times as old as Kabir. The sum of their ages is 30 years. How old is the father?
  26. 26.2 years ago, Tara’s mother was three times as old as Tara. The mother is 32 years old now. How old is Tara now?
  27. 27.Aarav’s father is five times as old as Aarav. The sum of their ages is 72 years. How old is Aarav?
  28. 28.Saanvi’s father is twice as old as Saanvi. The sum of their ages is 21 years. How old is Saanvi?
  29. 29.In 28 years, Sneha will be twice as old as Sneha was 3 years ago. How old is Sneha now?
  30. 30.In 20 years, Sneha will be twice as old as Sneha was 4 years ago. How old is Sneha now?
  31. 31.In 7 years, Diya will be twice as old as Diya was 6 years ago. How old is Diya now?
  32. 32.8 years ago, Diya’s mother was twice as old as Diya. The mother is 28 years old now. How old is Diya now?
  33. 33.Arjun’s father is four times as old as Arjun. The sum of their ages is 50 years. How old is Arjun?
  34. 34.8 years ago, Tara’s mother was twice as old as Tara. The mother is 20 years old now. How old is Tara now?
  35. 35.Aarav is 3 years older than Nisha. In 10 years, the sum of their ages will be 45. How old is Nisha now?
  36. 36.In 7 years, Meera will be twice as old as Meera was 4 years ago. How old is Meera now?
  37. 37.In 12 years, Aditya will be twice as old as Aditya was 6 years ago. How old is Aditya now?
  38. 38.Tara’s father is twice as old as Tara. The sum of their ages is 24 years. How old is Tara?
  39. 39.Arjun is 5 years older than Pooja. In 9 years, the sum of their ages will be 81. How old is Pooja now?
  40. 40.10 years ago, Manav’s mother was twice as old as Manav. The mother is 20 years old now. How old is Manav now?

Answer key

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

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