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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 820 · 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.Diya’s father is three times as old as Diya. The sum of their ages is 60 years. How old is the father?
  2. 2.Vivaan’s father is five times as old as Vivaan. The sum of their ages is 54 years. How old is Vivaan?
  3. 3.In 15 years, Tara will be twice as old as Tara was 3 years ago. How old is Tara now?
  4. 4.Meera’s father is three times as old as Meera. The sum of their ages is 40 years. How old is the father?
  5. 5.Ishaan is 5 years older than Rohan. In 5 years, the sum of their ages will be 35. How old is Rohan now?
  6. 6.Arjun is 7 years older than Pooja. In 10 years, the sum of their ages will be 61. How old is Pooja now?
  7. 7.Nisha’s father is four times as old as Nisha. The sum of their ages is 35 years. How old is Nisha?
  8. 8.In 27 years, Nisha will be twice as old as Nisha was 3 years ago. How old is Nisha now?
  9. 9.Rohan is 6 years older than Ananya. In 8 years, the sum of their ages will be 74. How old is Ananya now?
  10. 10.Rahul is 10 years older than Meera. In 7 years, the sum of their ages will be 76. How old is Meera now?
  11. 11.Ananya is 10 years older than Kavya. In 4 years, the sum of their ages will be 74. How old is Kavya now?
  12. 12.3 years ago, Kabir’s mother was three times as old as Kabir. The mother is 33 years old now. How old is Kabir now?
  13. 13.Isha is 6 years older than Farhan. In 10 years, the sum of their ages will be 40. How old is Farhan now?
  14. 14.3 years ago, Arjun’s mother was three times as old as Arjun. The mother is 24 years old now. How old is Arjun now?
  15. 15.Pooja’s father is three times as old as Pooja. The sum of their ages is 28 years. How old is Pooja?
  16. 16.2 years ago, Diya’s mother was twice as old as Diya. The mother is 12 years old now. How old is Diya now?
  17. 17.Ishaan is 10 years older than Dev. In 2 years, the sum of their ages will be 34. How old is Dev now?
  18. 18.7 years ago, Rohan’s mother was twice as old as Rohan. The mother is 13 years old now. How old is Rohan now?
  19. 19.Saanvi is 6 years older than Arjun. In 5 years, the sum of their ages will be 36. How old is Arjun now?
  20. 20.Kabir’s father is twice as old as Kabir. The sum of their ages is 30 years. How old is the father?
  21. 21.7 years ago, Manav’s mother was twice as old as Manav. The mother is 17 years old now. How old is Manav now?
  22. 22.3 years ago, Nisha’s mother was three times as old as Nisha. The mother is 30 years old now. How old is Nisha now?
  23. 23.In 3 years, Aditya will be twice as old as Aditya was 4 years ago. How old is Aditya now?
  24. 24.Pooja’s father is five times as old as Pooja. The sum of their ages is 36 years. How old is the father?
  25. 25.Sneha is 6 years older than Kabir. In 7 years, the sum of their ages will be 72. How old is Kabir now?
  26. 26.Aarav’s father is twice as old as Aarav. The sum of their ages is 33 years. How old is Aarav?
  27. 27.Priya’s father is twice as old as Priya. The sum of their ages is 42 years. How old is Priya?
  28. 28.3 years ago, Priya’s mother was twice as old as Priya. The mother is 21 years old now. How old is Priya now?
  29. 29.4 years ago, Saanvi’s mother was four times as old as Saanvi. The mother is 32 years old now. How old is Saanvi now?
  30. 30.5 years ago, Zoya’s mother was three times as old as Zoya. The mother is 32 years old now. How old is Zoya now?
  31. 31.Tara’s father is four times as old as Tara. The sum of their ages is 35 years. How old is the father?
  32. 32.Vivaan’s father is four times as old as Vivaan. The sum of their ages is 55 years. How old is Vivaan?
  33. 33.Nisha’s father is five times as old as Nisha. The sum of their ages is 78 years. How old is Nisha?
  34. 34.In 2 years, Sneha will be twice as old as Sneha was 6 years ago. How old is Sneha now?
  35. 35.Kabir’s father is three times as old as Kabir. The sum of their ages is 56 years. How old is the father?
  36. 36.Zoya’s father is three times as old as Zoya. The sum of their ages is 36 years. How old is the father?
  37. 37.8 years ago, Tara’s mother was four times as old as Tara. The mother is 28 years old now. How old is Tara now?
  38. 38.2 years ago, Rahul’s mother was three times as old as Rahul. The mother is 14 years old now. How old is Rahul now?
  39. 39.Vivaan is 2 years older than Nisha. In 4 years, the sum of their ages will be 70. How old is Nisha now?
  40. 40.Aarav is 9 years older than Vivaan. In 10 years, the sum of their ages will be 75. How old is Vivaan now?

Answer key

  1. 45
  2. 9
  3. 21
  4. 30
  5. 10
  6. 17
  7. 7
  8. 33
  9. 26
  10. 26
  11. 28
  12. 13
  13. 7
  14. 10
  15. 7
  16. 7
  17. 10
  18. 10
  19. 10
  20. 20
  21. 12
  22. 12
  23. 11
  24. 30
  25. 26
  26. 11
  27. 14
  28. 12
  29. 11
  30. 14
  31. 28
  32. 11
  33. 13
  34. 14
  35. 42
  36. 27
  37. 13
  38. 6
  39. 30
  40. 23

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