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.Aditya is 10 years older than Zoya. In 10 years, the sum of their ages will be 54. How old is Zoya now?
- 2.Aditya’s father is twice as old as Aditya. The sum of their ages is 18 years. How old is the father?
- 3.Priya is 5 years older than Pooja. In 6 years, the sum of their ages will be 61. How old is Pooja now?
- 4.In 15 years, Diya will be three times as old as Diya was 3 years ago. How old is Diya now?
- 5.Saanvi is 10 years older than Kabir. In 10 years, the sum of their ages will be 40. How old is Kabir now?
- 6.2 years ago, Nisha’s mother was three times as old as Nisha. The mother is 38 years old now. How old is Nisha now?
- 7.Sneha is 5 years older than Pooja. In 9 years, the sum of their ages will be 65. How old is Pooja now?
- 8.Pooja’s father is twice as old as Pooja. The sum of their ages is 45 years. How old is the father?
- 9.Farhan is 5 years older than Tara. In 10 years, the sum of their ages will be 67. How old is Tara now?
- 10.Kavya’s father is three times as old as Kavya. The sum of their ages is 28 years. How old is Kavya?
- 11.Nisha’s father is four times as old as Nisha. The sum of their ages is 70 years. How old is Nisha?
- 12.Pooja is 6 years older than Diya. In 8 years, the sum of their ages will be 62. How old is Diya now?
- 13.Dev is 9 years older than Kavya. In 8 years, the sum of their ages will be 63. How old is Kavya now?
- 14.In 12 years, Ishaan will be three times as old as Ishaan was 2 years ago. How old is Ishaan now?
- 15.3 years ago, Kabir’s mother was four times as old as Kabir. The mother is 43 years old now. How old is Kabir now?
- 16.Rahul’s father is five times as old as Rahul. The sum of their ages is 72 years. How old is Rahul?
- 17.Ananya is 4 years older than Pooja. In 10 years, the sum of their ages will be 80. How old is Pooja now?
- 18.Dev is 5 years older than Aditya. In 3 years, the sum of their ages will be 63. How old is Aditya now?
- 19.Aarav’s father is four times as old as Aarav. The sum of their ages is 45 years. How old is Aarav?
- 20.Dev is 5 years older than Diya. In 5 years, the sum of their ages will be 35. How old is Diya now?
- 21.In 17 years, Kabir will be twice as old as Kabir was 3 years ago. How old is Kabir now?
- 22.Saanvi’s father is three times as old as Saanvi. The sum of their ages is 60 years. How old is Saanvi?
- 23.Ishaan’s father is three times as old as Ishaan. The sum of their ages is 32 years. How old is the father?
- 24.Karan is 2 years older than Kabir. In 7 years, the sum of their ages will be 76. How old is Kabir now?
- 25.Sneha is 4 years older than Meera. In 7 years, the sum of their ages will be 54. How old is Meera now?
- 26.Farhan’s father is four times as old as Farhan. The sum of their ages is 40 years. How old is the father?
- 27.Kabir is 9 years older than Rohan. In 8 years, the sum of their ages will be 67. How old is Rohan now?
- 28.3 years ago, Vivaan’s mother was four times as old as Vivaan. The mother is 31 years old now. How old is Vivaan now?
- 29.In 11 years, Dev will be three times as old as Dev was 5 years ago. How old is Dev now?
- 30.In 27 years, Kavya will be twice as old as Kavya was 4 years ago. How old is Kavya now?
- 31.Sneha’s father is three times as old as Sneha. The sum of their ages is 28 years. How old is the father?
- 32.Vivaan’s father is three times as old as Vivaan. The sum of their ages is 60 years. How old is Vivaan?
- 33.In 22 years, Diya will be twice as old as Diya was 4 years ago. How old is Diya now?
- 34.10 years ago, Aditya’s mother was three times as old as Aditya. The mother is 19 years old now. How old is Aditya now?
- 35.In 11 years, Zoya will be twice as old as Zoya was 3 years ago. How old is Zoya now?
- 36.Vivaan is 2 years older than Kavya. In 7 years, the sum of their ages will be 70. How old is Kavya now?
- 37.Meera’s father is three times as old as Meera. The sum of their ages is 56 years. How old is Meera?
- 38.Diya is 4 years older than Ananya. In 8 years, the sum of their ages will be 36. How old is Ananya now?
- 39.Rohan is 5 years older than Zoya. In 9 years, the sum of their ages will be 53. How old is Zoya now?
- 40.Vivaan’s father is twice as old as Vivaan. The sum of their ages is 42 years. How old is the father?
Answer key
- 12
- 12
- 22
- 12
- 5
- 14
- 21
- 30
- 21
- 7
- 14
- 20
- 19
- 9
- 13
- 12
- 28
- 26
- 9
- 10
- 23
- 15
- 24
- 30
- 18
- 32
- 21
- 10
- 13
- 35
- 21
- 15
- 30
- 13
- 17
- 27
- 14
- 8
- 15
- 28
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