Problems on Ages Worksheet
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.Aarav’s father is twice as old as Aarav. The sum of their ages is 36 years. How old is Aarav?
- 2.Rohan’s father is twice as old as Rohan. The sum of their ages is 30 years. How old is Rohan?
- 3.Pooja’s father is twice as old as Pooja. The sum of their ages is 15 years. How old is Pooja?
- 4.Rohan is 4 years older than Farhan. In 3 years, the sum of their ages will be 30. How old is Farhan now?
- 5.Pooja is 8 years older than Rohan. In 7 years, the sum of their ages will be 78. How old is Rohan now?
- 6.In 16 years, Pooja will be twice as old as Pooja was 6 years ago. How old is Pooja now?
- 7.Vivaan’s father is twice as old as Vivaan. The sum of their ages is 45 years. How old is Vivaan?
- 8.In 13 years, Sneha will be twice as old as Sneha was 2 years ago. How old is Sneha now?
- 9.In 7 years, Ananya will be three times as old as Ananya was 5 years ago. How old is Ananya now?
- 10.Karan’s father is twice as old as Karan. The sum of their ages is 18 years. How old is the father?
- 11.In 3 years, Kabir will be three times as old as Kabir was 5 years ago. How old is Kabir now?
- 12.Dev is 9 years older than Karan. In 6 years, the sum of their ages will be 43. How old is Karan now?
- 13.4 years ago, Meera’s mother was three times as old as Meera. The mother is 22 years old now. How old is Meera now?
- 14.5 years ago, Rohan’s mother was three times as old as Rohan. The mother is 35 years old now. How old is Rohan now?
- 15.Diya is 3 years older than Rahul. In 9 years, the sum of their ages will be 53. How old is Rahul now?
- 16.3 years ago, Aarav’s mother was four times as old as Aarav. The mother is 51 years old now. How old is Aarav now?
- 17.Ishaan’s father is twice as old as Ishaan. The sum of their ages is 33 years. How old is the father?
- 18.Farhan is 2 years older than Arjun. In 7 years, the sum of their ages will be 58. How old is Arjun now?
- 19.Kavya is 8 years older than Nisha. In 8 years, the sum of their ages will be 58. How old is Nisha now?
- 20.5 years ago, Meera’s mother was four times as old as Meera. The mother is 45 years old now. How old is Meera now?
- 21.Meera’s father is five times as old as Meera. The sum of their ages is 36 years. How old is Meera?
- 22.8 years ago, Kavya’s mother was twice as old as Kavya. The mother is 16 years old now. How old is Kavya now?
- 23.In 13 years, Zoya will be three times as old as Zoya was 3 years ago. How old is Zoya now?
- 24.Diya’s father is twice as old as Diya. The sum of their ages is 24 years. How old is the father?
- 25.In 19 years, Rohan will be twice as old as Rohan was 6 years ago. How old is Rohan now?
- 26.Priya is 8 years older than Karan. In 9 years, the sum of their ages will be 82. How old is Karan now?
- 27.In 5 years, Karan will be twice as old as Karan was 2 years ago. How old is Karan now?
- 28.4 years ago, Vivaan’s mother was four times as old as Vivaan. The mother is 40 years old now. How old is Vivaan now?
- 29.Pooja’s father is five times as old as Pooja. The sum of their ages is 60 years. How old is Pooja?
- 30.Karan is 4 years older than Zoya. In 2 years, the sum of their ages will be 28. How old is Zoya now?
- 31.8 years ago, Meera’s mother was four times as old as Meera. The mother is 20 years old now. How old is Meera now?
- 32.Manav’s father is four times as old as Manav. The sum of their ages is 45 years. How old is the father?
- 33.In 27 years, Kavya will be three times as old as Kavya was 3 years ago. How old is Kavya now?
- 34.In 3 years, Rohan will be twice as old as Rohan was 6 years ago. How old is Rohan now?
- 35.In 12 years, Dev will be twice as old as Dev was 2 years ago. How old is Dev now?
- 36.Saanvi’s father is five times as old as Saanvi. The sum of their ages is 36 years. How old is Saanvi?
- 37.Kavya’s father is twice as old as Kavya. The sum of their ages is 39 years. How old is the father?
- 38.In 27 years, Isha will be twice as old as Isha was 3 years ago. How old is Isha now?
- 39.Isha’s father is twice as old as Isha. The sum of their ages is 30 years. How old is the father?
- 40.Zoya is 5 years older than Meera. In 5 years, the sum of their ages will be 43. How old is Meera now?
Answer key
- 12
- 10
- 5
- 10
- 28
- 28
- 15
- 17
- 11
- 12
- 9
- 11
- 10
- 15
- 16
- 15
- 22
- 21
- 17
- 15
- 6
- 12
- 11
- 16
- 31
- 28
- 9
- 13
- 10
- 10
- 11
- 36
- 18
- 15
- 16
- 6
- 26
- 33
- 20
- 14
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