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 twice as old as Rahul. The sum of their ages is 30 years. How old is the father?
- 2.10 years ago, Rahul’s mother was three times as old as Rahul. The mother is 25 years old now. How old is Rahul now?
- 3.In 9 years, Ishaan will be three times as old as Ishaan was 3 years ago. How old is Ishaan now?
- 4.Tara’s father is four times as old as Tara. The sum of their ages is 30 years. How old is Tara?
- 5.Diya is 8 years older than Kabir. In 9 years, the sum of their ages will be 72. How old is Kabir now?
- 6.Sneha is 6 years older than Aditya. In 9 years, the sum of their ages will be 54. How old is Aditya now?
- 7.Diya’s father is five times as old as Diya. The sum of their ages is 48 years. How old is Diya?
- 8.In 8 years, Pooja will be three times as old as Pooja was 4 years ago. How old is Pooja now?
- 9.In 18 years, Zoya will be three times as old as Zoya was 2 years ago. How old is Zoya now?
- 10.Arjun’s father is twice as old as Arjun. The sum of their ages is 24 years. How old is Arjun?
- 11.Kavya is 6 years older than Meera. In 4 years, the sum of their ages will be 62. How old is Meera now?
- 12.In 18 years, Ananya will be twice as old as Ananya was 5 years ago. How old is Ananya now?
- 13.Meera’s father is twice as old as Meera. The sum of their ages is 42 years. How old is the father?
- 14.Rahul’s father is twice as old as Rahul. The sum of their ages is 42 years. How old is Rahul?
- 15.5 years ago, Ananya’s mother was three times as old as Ananya. The mother is 32 years old now. How old is Ananya now?
- 16.Karan’s father is three times as old as Karan. The sum of their ages is 24 years. How old is Karan?
- 17.Saanvi’s father is five times as old as Saanvi. The sum of their ages is 36 years. How old is Saanvi?
- 18.Isha is 2 years older than Diya. In 4 years, the sum of their ages will be 34. How old is Diya now?
- 19.In 7 years, Kavya will be three times as old as Kavya was 3 years ago. How old is Kavya now?
- 20.3 years ago, Saanvi’s mother was four times as old as Saanvi. The mother is 27 years old now. How old is Saanvi now?
- 21.Isha’s father is three times as old as Isha. The sum of their ages is 40 years. How old is Isha?
- 22.Arjun’s father is three times as old as Arjun. The sum of their ages is 56 years. How old is Arjun?
- 23.In 6 years, Kavya will be twice as old as Kavya was 3 years ago. How old is Kavya now?
- 24.Isha’s father is five times as old as Isha. The sum of their ages is 72 years. How old is the father?
- 25.7 years ago, Zoya’s mother was three times as old as Zoya. The mother is 40 years old now. How old is Zoya now?
- 26.Diya’s father is five times as old as Diya. The sum of their ages is 90 years. How old is the father?
- 27.Dev is 5 years older than Kavya. In 7 years, the sum of their ages will be 51. How old is Kavya now?
- 28.In 24 years, Isha will be three times as old as Isha was 6 years ago. How old is Isha now?
- 29.Karan’s father is four times as old as Karan. The sum of their ages is 65 years. How old is the father?
- 30.Arjun is 5 years older than Aditya. In 3 years, the sum of their ages will be 25. How old is Aditya now?
- 31.Meera’s father is three times as old as Meera. The sum of their ages is 44 years. How old is the father?
- 32.7 years ago, Kavya’s mother was three times as old as Kavya. The mother is 31 years old now. How old is Kavya now?
- 33.In 10 years, Nisha will be twice as old as Nisha was 6 years ago. How old is Nisha now?
- 34.In 27 years, Diya will be twice as old as Diya was 4 years ago. How old is Diya now?
- 35.Isha’s father is four times as old as Isha. The sum of their ages is 40 years. How old is Isha?
- 36.4 years ago, Kavya’s mother was four times as old as Kavya. The mother is 36 years old now. How old is Kavya now?
- 37.Ananya’s father is five times as old as Ananya. The sum of their ages is 30 years. How old is Ananya?
- 38.In 17 years, Arjun will be three times as old as Arjun was 5 years ago. How old is Arjun now?
- 39.Pooja is 9 years older than Ananya. In 5 years, the sum of their ages will be 65. How old is Ananya now?
- 40.Kavya’s father is twice as old as Kavya. The sum of their ages is 15 years. How old is Kavya?
Answer key
- 20
- 15
- 9
- 6
- 23
- 15
- 8
- 10
- 12
- 8
- 24
- 28
- 28
- 14
- 14
- 6
- 6
- 12
- 8
- 9
- 10
- 14
- 12
- 60
- 18
- 75
- 16
- 21
- 52
- 7
- 33
- 15
- 22
- 35
- 8
- 12
- 5
- 16
- 23
- 5
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