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Problems on Ages Worksheet

Quantitative aptitude lesson 17: Problems on ages · Set 408 · 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. 1.2 years ago, Arjun’s mother was four times as old as Arjun. The mother is 34 years old now. How old is Arjun now?
  2. 2.Kavya’s father is twice as old as Kavya. The sum of their ages is 18 years. How old is the father?
  3. 3.Isha’s father is five times as old as Isha. The sum of their ages is 78 years. How old is Isha?
  4. 4.Priya’s father is four times as old as Priya. The sum of their ages is 75 years. How old is the father?
  5. 5.Karan’s father is five times as old as Karan. The sum of their ages is 72 years. How old is the father?
  6. 6.Ananya’s father is twice as old as Ananya. The sum of their ages is 30 years. How old is the father?
  7. 7.In 19 years, Aarav will be twice as old as Aarav was 3 years ago. How old is Aarav now?
  8. 8.7 years ago, Rahul’s mother was three times as old as Rahul. The mother is 40 years old now. How old is Rahul now?
  9. 9.In 22 years, Meera will be three times as old as Meera was 6 years ago. How old is Meera now?
  10. 10.3 years ago, Vivaan’s mother was three times as old as Vivaan. The mother is 18 years old now. How old is Vivaan now?
  11. 11.Priya’s father is twice as old as Priya. The sum of their ages is 30 years. How old is the father?
  12. 12.7 years ago, Pooja’s mother was twice as old as Pooja. The mother is 27 years old now. How old is Pooja now?
  13. 13.Karan’s father is four times as old as Karan. The sum of their ages is 65 years. How old is Karan?
  14. 14.10 years ago, Aditya’s mother was twice as old as Aditya. The mother is 32 years old now. How old is Aditya now?
  15. 15.Rahul’s father is five times as old as Rahul. The sum of their ages is 54 years. How old is Rahul?
  16. 16.Meera is 4 years older than Nisha. In 4 years, the sum of their ages will be 34. How old is Nisha now?
  17. 17.In 27 years, Arjun will be twice as old as Arjun was 2 years ago. How old is Arjun now?
  18. 18.In 30 years, Priya will be twice as old as Priya was 2 years ago. How old is Priya now?
  19. 19.3 years ago, Tara’s mother was twice as old as Tara. The mother is 19 years old now. How old is Tara now?
  20. 20.In 13 years, Priya will be twice as old as Priya was 5 years ago. How old is Priya now?
  21. 21.Aarav’s father is four times as old as Aarav. The sum of their ages is 50 years. How old is Aarav?
  22. 22.Ananya’s father is four times as old as Ananya. The sum of their ages is 35 years. How old is the father?
  23. 23.Farhan’s father is twice as old as Farhan. The sum of their ages is 18 years. How old is the father?
  24. 24.Aditya’s father is four times as old as Aditya. The sum of their ages is 70 years. How old is Aditya?
  25. 25.Pooja’s father is four times as old as Pooja. The sum of their ages is 30 years. How old is the father?
  26. 26.Diya’s father is four times as old as Diya. The sum of their ages is 55 years. How old is the father?
  27. 27.In 22 years, Arjun will be three times as old as Arjun was 2 years ago. How old is Arjun now?
  28. 28.Arjun’s father is four times as old as Arjun. The sum of their ages is 70 years. How old is the father?
  29. 29.10 years ago, Kabir’s mother was twice as old as Kabir. The mother is 16 years old now. How old is Kabir now?
  30. 30.Farhan’s father is five times as old as Farhan. The sum of their ages is 90 years. How old is the father?
  31. 31.5 years ago, Isha’s mother was twice as old as Isha. The mother is 25 years old now. How old is Isha now?
  32. 32.Priya is 2 years older than Sneha. In 4 years, the sum of their ages will be 28. How old is Sneha now?
  33. 33.Meera is 3 years older than Zoya. In 6 years, the sum of their ages will be 75. How old is Zoya now?
  34. 34.Karan’s father is five times as old as Karan. The sum of their ages is 48 years. How old is the father?
  35. 35.Farhan is 8 years older than Tara. In 7 years, the sum of their ages will be 36. How old is Tara now?
  36. 36.Pooja is 5 years older than Kavya. In 3 years, the sum of their ages will be 29. How old is Kavya now?
  37. 37.In 4 years, Tara will be three times as old as Tara was 6 years ago. How old is Tara now?
  38. 38.Aarav’s father is twice as old as Aarav. The sum of their ages is 33 years. How old is Aarav?
  39. 39.Saanvi is 6 years older than Sneha. In 9 years, the sum of their ages will be 80. How old is Sneha now?
  40. 40.Arjun’s father is twice as old as Arjun. The sum of their ages is 24 years. How old is the father?

Answer key

  1. 10
  2. 12
  3. 13
  4. 60
  5. 60
  6. 20
  7. 25
  8. 18
  9. 20
  10. 8
  11. 20
  12. 17
  13. 13
  14. 21
  15. 9
  16. 11
  17. 31
  18. 34
  19. 11
  20. 23
  21. 10
  22. 28
  23. 12
  24. 14
  25. 24
  26. 44
  27. 14
  28. 56
  29. 13
  30. 75
  31. 15
  32. 9
  33. 30
  34. 40
  35. 7
  36. 9
  37. 11
  38. 11
  39. 28
  40. 16

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