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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 583 · 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. 1.8 years ago, Tara’s mother was twice as old as Tara. The mother is 28 years old now. How old is Tara now?
  2. 2.In 26 years, Arjun will be twice as old as Arjun was 6 years ago. How old is Arjun now?
  3. 3.In 30 years, Vivaan will be twice as old as Vivaan was 4 years ago. How old is Vivaan now?
  4. 4.Aarav is 5 years older than Rohan. In 2 years, the sum of their ages will be 29. How old is Rohan now?
  5. 5.In 2 years, Rohan will be twice as old as Rohan was 5 years ago. How old is Rohan now?
  6. 6.Farhan is 7 years older than Arjun. In 5 years, the sum of their ages will be 43. How old is Arjun now?
  7. 7.Diya’s father is four times as old as Diya. The sum of their ages is 45 years. How old is Diya?
  8. 8.7 years ago, Meera’s mother was twice as old as Meera. The mother is 31 years old now. How old is Meera now?
  9. 9.Nisha’s father is four times as old as Nisha. The sum of their ages is 35 years. How old is Nisha?
  10. 10.7 years ago, Vivaan’s mother was twice as old as Vivaan. The mother is 13 years old now. How old is Vivaan now?
  11. 11.In 11 years, Kavya will be twice as old as Kavya was 6 years ago. How old is Kavya now?
  12. 12.7 years ago, Arjun’s mother was four times as old as Arjun. The mother is 39 years old now. How old is Arjun now?
  13. 13.Meera is 9 years older than Tara. In 3 years, the sum of their ages will be 61. How old is Tara now?
  14. 14.4 years ago, Zoya’s mother was four times as old as Zoya. The mother is 20 years old now. How old is Zoya now?
  15. 15.7 years ago, Nisha’s mother was three times as old as Nisha. The mother is 16 years old now. How old is Nisha now?
  16. 16.Saanvi’s father is twice as old as Saanvi. The sum of their ages is 24 years. How old is the father?
  17. 17.6 years ago, Ananya’s mother was four times as old as Ananya. The mother is 38 years old now. How old is Ananya now?
  18. 18.10 years ago, Sneha’s mother was twice as old as Sneha. The mother is 28 years old now. How old is Sneha now?
  19. 19.4 years ago, Saanvi’s mother was twice as old as Saanvi. The mother is 10 years old now. How old is Saanvi now?
  20. 20.Ananya is 9 years older than Nisha. In 4 years, the sum of their ages will be 71. How old is Nisha now?
  21. 21.Ananya’s father is three times as old as Ananya. The sum of their ages is 20 years. How old is the father?
  22. 22.10 years ago, Kabir’s mother was three times as old as Kabir. The mother is 46 years old now. How old is Kabir now?
  23. 23.Meera is 6 years older than Dev. In 9 years, the sum of their ages will be 76. How old is Dev now?
  24. 24.7 years ago, Ishaan’s mother was four times as old as Ishaan. The mother is 47 years old now. How old is Ishaan now?
  25. 25.In 19 years, Ishaan will be twice as old as Ishaan was 3 years ago. How old is Ishaan now?
  26. 26.7 years ago, Nisha’s mother was twice as old as Nisha. The mother is 21 years old now. How old is Nisha now?
  27. 27.Zoya’s father is twice as old as Zoya. The sum of their ages is 21 years. How old is Zoya?
  28. 28.Arjun’s father is four times as old as Arjun. The sum of their ages is 60 years. How old is Arjun?
  29. 29.Aarav is 5 years older than Zoya. In 4 years, the sum of their ages will be 23. How old is Zoya now?
  30. 30.6 years ago, Arjun’s mother was three times as old as Arjun. The mother is 36 years old now. How old is Arjun now?
  31. 31.Priya’s father is four times as old as Priya. The sum of their ages is 55 years. How old is Priya?
  32. 32.Kavya is 9 years older than Nisha. In 7 years, the sum of their ages will be 35. How old is Nisha now?
  33. 33.3 years ago, Zoya’s mother was four times as old as Zoya. The mother is 31 years old now. How old is Zoya now?
  34. 34.9 years ago, Ananya’s mother was three times as old as Ananya. The mother is 27 years old now. How old is Ananya now?
  35. 35.Kabir’s father is three times as old as Kabir. The sum of their ages is 20 years. How old is the father?
  36. 36.In 8 years, Vivaan will be twice as old as Vivaan was 2 years ago. How old is Vivaan now?
  37. 37.Manav is 4 years older than Aarav. In 8 years, the sum of their ages will be 72. How old is Aarav now?
  38. 38.Tara is 3 years older than Priya. In 4 years, the sum of their ages will be 23. How old is Priya now?
  39. 39.2 years ago, Tara’s mother was twice as old as Tara. The mother is 12 years old now. How old is Tara now?
  40. 40.Tara’s father is five times as old as Tara. The sum of their ages is 48 years. How old is Tara?

Answer key

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

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