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.Vivaan’s father is five times as old as Vivaan. The sum of their ages is 84 years. How old is Vivaan?
- 2.Kabir’s father is five times as old as Kabir. The sum of their ages is 60 years. How old is Kabir?
- 3.Arjun’s father is three times as old as Arjun. The sum of their ages is 44 years. How old is Arjun?
- 4.In 4 years, Rahul will be twice as old as Rahul was 3 years ago. How old is Rahul now?
- 5.Arjun’s father is five times as old as Arjun. The sum of their ages is 66 years. How old is Arjun?
- 6.Pooja’s father is three times as old as Pooja. The sum of their ages is 36 years. How old is Pooja?
- 7.Ishaan is 10 years older than Diya. In 3 years, the sum of their ages will be 64. How old is Diya now?
- 8.4 years ago, Arjun’s mother was twice as old as Arjun. The mother is 28 years old now. How old is Arjun now?
- 9.In 2 years, Priya will be twice as old as Priya was 3 years ago. How old is Priya now?
- 10.In 22 years, Meera will be three times as old as Meera was 4 years ago. How old is Meera now?
- 11.Pooja is 4 years older than Sneha. In 8 years, the sum of their ages will be 52. How old is Sneha now?
- 12.Ishaan’s father is twice as old as Ishaan. The sum of their ages is 30 years. How old is the father?
- 13.Ananya is 9 years older than Isha. In 3 years, the sum of their ages will be 71. How old is Isha now?
- 14.Rahul’s father is twice as old as Rahul. The sum of their ages is 45 years. How old is the father?
- 15.Aarav’s father is twice as old as Aarav. The sum of their ages is 30 years. How old is the father?
- 16.In 20 years, Ananya will be twice as old as Ananya was 3 years ago. How old is Ananya now?
- 17.In 2 years, Ishaan will be twice as old as Ishaan was 6 years ago. How old is Ishaan now?
- 18.In 15 years, Isha will be twice as old as Isha was 3 years ago. How old is Isha now?
- 19.4 years ago, Aditya’s mother was twice as old as Aditya. The mother is 20 years old now. How old is Aditya now?
- 20.Vivaan is 2 years older than Zoya. In 4 years, the sum of their ages will be 68. How old is Zoya now?
- 21.Kavya’s father is twice as old as Kavya. The sum of their ages is 33 years. How old is Kavya?
- 22.Diya is 10 years older than Kabir. In 8 years, the sum of their ages will be 82. How old is Kabir now?
- 23.Rohan is 2 years older than Aditya. In 9 years, the sum of their ages will be 80. How old is Aditya now?
- 24.Kavya is 10 years older than Aarav. In 3 years, the sum of their ages will be 30. How old is Aarav now?
- 25.Vivaan’s father is four times as old as Vivaan. The sum of their ages is 30 years. How old is Vivaan?
- 26.In 9 years, Vivaan will be twice as old as Vivaan was 3 years ago. How old is Vivaan now?
- 27.In 10 years, Meera will be twice as old as Meera was 2 years ago. How old is Meera now?
- 28.2 years ago, Karan’s mother was four times as old as Karan. The mother is 42 years old now. How old is Karan now?
- 29.In 15 years, Meera will be twice as old as Meera was 2 years ago. How old is Meera now?
- 30.Tara is 9 years older than Rahul. In 3 years, the sum of their ages will be 35. How old is Rahul now?
- 31.In 22 years, Meera will be twice as old as Meera was 2 years ago. How old is Meera now?
- 32.In 6 years, Vivaan will be three times as old as Vivaan was 4 years ago. How old is Vivaan now?
- 33.Vivaan’s father is five times as old as Vivaan. The sum of their ages is 60 years. How old is the father?
- 34.Sneha’s father is four times as old as Sneha. The sum of their ages is 50 years. How old is Sneha?
- 35.Tara’s father is four times as old as Tara. The sum of their ages is 50 years. How old is Tara?
- 36.In 8 years, Aarav will be twice as old as Aarav was 4 years ago. How old is Aarav now?
- 37.In 26 years, Rahul will be three times as old as Rahul was 6 years ago. How old is Rahul now?
- 38.In 3 years, Ananya will be twice as old as Ananya was 3 years ago. How old is Ananya now?
- 39.Aditya is 9 years older than Rohan. In 6 years, the sum of their ages will be 49. How old is Rohan now?
- 40.5 years ago, Karan’s mother was four times as old as Karan. The mother is 29 years old now. How old is Karan now?
Answer key
- 14
- 10
- 11
- 10
- 11
- 9
- 24
- 16
- 8
- 17
- 16
- 20
- 28
- 30
- 20
- 26
- 14
- 21
- 12
- 29
- 11
- 28
- 30
- 7
- 6
- 15
- 14
- 12
- 19
- 10
- 26
- 9
- 50
- 10
- 10
- 16
- 22
- 9
- 14
- 11
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