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.Arjun’s father is five times as old as Arjun. The sum of their ages is 84 years. How old is the father?
- 2.Ishaan’s father is twice as old as Ishaan. The sum of their ages is 36 years. How old is Ishaan?
- 3.In 1 years, Diya will be twice as old as Diya was 6 years ago. How old is Diya now?
- 4.5 years ago, Priya’s mother was four times as old as Priya. The mother is 49 years old now. How old is Priya now?
- 5.Meera is 6 years older than Vivaan. In 3 years, the sum of their ages will be 54. How old is Vivaan now?
- 6.In 28 years, Dev will be twice as old as Dev was 4 years ago. How old is Dev now?
- 7.In 6 years, Diya will be twice as old as Diya was 5 years ago. How old is Diya now?
- 8.In 29 years, Zoya will be twice as old as Zoya was 4 years ago. How old is Zoya now?
- 9.Kavya’s father is three times as old as Kavya. The sum of their ages is 44 years. How old is the father?
- 10.Ishaan’s father is twice as old as Ishaan. The sum of their ages is 45 years. How old is the father?
- 11.Manav’s father is three times as old as Manav. The sum of their ages is 52 years. How old is Manav?
- 12.Pooja’s father is twice as old as Pooja. The sum of their ages is 27 years. How old is Pooja?
- 13.Saanvi’s father is four times as old as Saanvi. The sum of their ages is 75 years. How old is Saanvi?
- 14.In 14 years, Tara will be twice as old as Tara was 2 years ago. How old is Tara now?
- 15.7 years ago, Karan’s mother was twice as old as Karan. The mother is 31 years old now. How old is Karan now?
- 16.4 years ago, Karan’s mother was three times as old as Karan. The mother is 19 years old now. How old is Karan now?
- 17.Sneha’s father is five times as old as Sneha. The sum of their ages is 90 years. How old is the father?
- 18.Arjun’s father is five times as old as Arjun. The sum of their ages is 48 years. How old is Arjun?
- 19.In 26 years, Sneha will be three times as old as Sneha was 4 years ago. How old is Sneha now?
- 20.Ananya is 2 years older than Diya. In 4 years, the sum of their ages will be 68. How old is Diya now?
- 21.Ishaan’s father is five times as old as Ishaan. The sum of their ages is 42 years. How old is Ishaan?
- 22.In 23 years, Sneha will be twice as old as Sneha was 5 years ago. How old is Sneha now?
- 23.Aarav is 2 years older than Meera. In 2 years, the sum of their ages will be 30. How old is Meera now?
- 24.Rohan’s father is five times as old as Rohan. The sum of their ages is 36 years. How old is the father?
- 25.2 years ago, Isha’s mother was twice as old as Isha. The mother is 10 years old now. How old is Isha now?
- 26.In 29 years, Kabir will be three times as old as Kabir was 5 years ago. How old is Kabir now?
- 27.Isha is 10 years older than Rahul. In 3 years, the sum of their ages will be 66. How old is Rahul now?
- 28.Aditya is 4 years older than Diya. In 6 years, the sum of their ages will be 36. How old is Diya now?
- 29.3 years ago, Zoya’s mother was three times as old as Zoya. The mother is 27 years old now. How old is Zoya now?
- 30.Arjun is 3 years older than Rohan. In 8 years, the sum of their ages will be 65. How old is Rohan now?
- 31.Aarav is 5 years older than Arjun. In 8 years, the sum of their ages will be 61. How old is Arjun now?
- 32.8 years ago, Meera’s mother was three times as old as Meera. The mother is 35 years old now. How old is Meera now?
- 33.Kabir is 4 years older than Zoya. In 10 years, the sum of their ages will be 40. How old is Zoya now?
- 34.Aarav is 6 years older than Rahul. In 10 years, the sum of their ages will be 74. How old is Rahul now?
- 35.4 years ago, Isha’s mother was three times as old as Isha. The mother is 34 years old now. How old is Isha now?
- 36.Nisha’s father is twice as old as Nisha. The sum of their ages is 15 years. How old is the father?
- 37.Meera’s father is five times as old as Meera. The sum of their ages is 36 years. How old is the father?
- 38.In 9 years, Rahul will be twice as old as Rahul was 3 years ago. How old is Rahul now?
- 39.Vivaan’s father is three times as old as Vivaan. The sum of their ages is 48 years. How old is the father?
- 40.In 28 years, Sneha will be three times as old as Sneha was 6 years ago. How old is Sneha now?
Answer key
- 70
- 12
- 13
- 16
- 21
- 36
- 16
- 37
- 33
- 30
- 13
- 9
- 15
- 18
- 19
- 9
- 75
- 8
- 19
- 29
- 7
- 33
- 12
- 30
- 6
- 22
- 25
- 10
- 11
- 23
- 20
- 17
- 8
- 24
- 14
- 10
- 30
- 15
- 36
- 23
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