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.Rahul’s father is four times as old as Rahul. The sum of their ages is 25 years. How old is the father?
- 2.Manav’s father is five times as old as Manav. The sum of their ages is 30 years. How old is Manav?
- 3.Farhan’s father is five times as old as Farhan. The sum of their ages is 84 years. How old is Farhan?
- 4.In 12 years, Rahul will be three times as old as Rahul was 6 years ago. How old is Rahul now?
- 5.Ananya’s father is four times as old as Ananya. The sum of their ages is 30 years. How old is Ananya?
- 6.Manav is 2 years older than Zoya. In 3 years, the sum of their ages will be 20. How old is Zoya now?
- 7.Manav’s father is twice as old as Manav. The sum of their ages is 21 years. How old is the father?
- 8.Aditya is 9 years older than Aarav. In 9 years, the sum of their ages will be 65. How old is Aarav now?
- 9.Karan is 9 years older than Pooja. In 3 years, the sum of their ages will be 57. How old is Pooja now?
- 10.Nisha’s father is four times as old as Nisha. The sum of their ages is 65 years. How old is the father?
- 11.Sneha’s father is three times as old as Sneha. The sum of their ages is 32 years. How old is the father?
- 12.4 years ago, Rahul’s mother was twice as old as Rahul. The mother is 24 years old now. How old is Rahul now?
- 13.Saanvi’s father is twice as old as Saanvi. The sum of their ages is 30 years. How old is the father?
- 14.Zoya is 3 years older than Dev. In 5 years, the sum of their ages will be 37. How old is Dev now?
- 15.Diya is 6 years older than Zoya. In 10 years, the sum of their ages will be 54. How old is Zoya now?
- 16.Ishaan’s father is twice as old as Ishaan. The sum of their ages is 36 years. How old is the father?
- 17.Arjun’s father is twice as old as Arjun. The sum of their ages is 33 years. How old is Arjun?
- 18.3 years ago, Ananya’s mother was twice as old as Ananya. The mother is 9 years old now. How old is Ananya now?
- 19.2 years ago, Saanvi’s mother was twice as old as Saanvi. The mother is 14 years old now. How old is Saanvi now?
- 20.In 16 years, Manav will be twice as old as Manav was 5 years ago. How old is Manav now?
- 21.Rohan’s father is twice as old as Rohan. The sum of their ages is 18 years. How old is Rohan?
- 22.Pooja’s father is four times as old as Pooja. The sum of their ages is 30 years. How old is the father?
- 23.2 years ago, Rohan’s mother was twice as old as Rohan. The mother is 18 years old now. How old is Rohan now?
- 24.In 17 years, Dev will be twice as old as Dev was 4 years ago. How old is Dev now?
- 25.Vivaan’s father is twice as old as Vivaan. The sum of their ages is 39 years. How old is Vivaan?
- 26.In 11 years, Diya will be twice as old as Diya was 6 years ago. How old is Diya now?
- 27.In 9 years, Aarav will be twice as old as Aarav was 4 years ago. How old is Aarav now?
- 28.Aditya is 5 years older than Pooja. In 5 years, the sum of their ages will be 41. How old is Pooja now?
- 29.Isha’s father is twice as old as Isha. The sum of their ages is 27 years. How old is the father?
- 30.9 years ago, Arjun’s mother was four times as old as Arjun. The mother is 53 years old now. How old is Arjun now?
- 31.Ishaan’s father is five times as old as Ishaan. The sum of their ages is 78 years. How old is Ishaan?
- 32.Arjun is 2 years older than Zoya. In 7 years, the sum of their ages will be 58. How old is Zoya now?
- 33.Diya is 3 years older than Dev. In 9 years, the sum of their ages will be 63. How old is Dev now?
- 34.Farhan is 3 years older than Ananya. In 3 years, the sum of their ages will be 49. How old is Ananya now?
- 35.In 23 years, Kabir will be three times as old as Kabir was 3 years ago. How old is Kabir now?
- 36.In 28 years, Nisha will be twice as old as Nisha was 3 years ago. How old is Nisha now?
- 37.Aarav’s father is twice as old as Aarav. The sum of their ages is 18 years. How old is Aarav?
- 38.Farhan is 6 years older than Dev. In 2 years, the sum of their ages will be 36. How old is Dev now?
- 39.2 years ago, Arjun’s mother was three times as old as Arjun. The mother is 29 years old now. How old is Arjun now?
- 40.Tara is 4 years older than Zoya. In 9 years, the sum of their ages will be 44. How old is Zoya now?
Answer key
- 20
- 5
- 14
- 15
- 6
- 6
- 14
- 19
- 21
- 52
- 24
- 14
- 20
- 12
- 14
- 24
- 11
- 6
- 8
- 26
- 6
- 24
- 10
- 25
- 13
- 23
- 17
- 13
- 18
- 20
- 13
- 21
- 21
- 20
- 16
- 34
- 6
- 13
- 11
- 11
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