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.Karan’s father is three times as old as Karan. The sum of their ages is 24 years. How old is the father?
- 2.In 26 years, Aarav will be three times as old as Aarav was 4 years ago. How old is Aarav now?
- 3.Vivaan’s father is five times as old as Vivaan. The sum of their ages is 66 years. How old is the father?
- 4.Aarav is 9 years older than Farhan. In 5 years, the sum of their ages will be 61. How old is Farhan now?
- 5.In 16 years, Saanvi will be three times as old as Saanvi was 2 years ago. How old is Saanvi now?
- 6.In 12 years, Priya will be twice as old as Priya was 5 years ago. How old is Priya now?
- 7.Farhan is 8 years older than Nisha. In 7 years, the sum of their ages will be 44. How old is Nisha now?
- 8.Priya is 2 years older than Saanvi. In 8 years, the sum of their ages will be 54. How old is Saanvi now?
- 9.In 8 years, Dev will be three times as old as Dev was 4 years ago. How old is Dev now?
- 10.Tara is 8 years older than Saanvi. In 6 years, the sum of their ages will be 68. How old is Saanvi now?
- 11.Ishaan’s father is five times as old as Ishaan. The sum of their ages is 90 years. How old is Ishaan?
- 12.In 4 years, Karan will be twice as old as Karan was 2 years ago. How old is Karan now?
- 13.Pooja is 8 years older than Rahul. In 5 years, the sum of their ages will be 30. How old is Rahul now?
- 14.In 18 years, Kavya will be twice as old as Kavya was 3 years ago. How old is Kavya now?
- 15.In 15 years, Saanvi will be three times as old as Saanvi was 5 years ago. How old is Saanvi now?
- 16.In 21 years, Meera will be twice as old as Meera was 6 years ago. How old is Meera now?
- 17.Arjun’s father is twice as old as Arjun. The sum of their ages is 39 years. How old is the father?
- 18.Tara is 6 years older than Diya. In 3 years, the sum of their ages will be 56. How old is Diya now?
- 19.Rohan’s father is four times as old as Rohan. The sum of their ages is 25 years. How old is the father?
- 20.2 years ago, Pooja’s mother was three times as old as Pooja. The mother is 32 years old now. How old is Pooja now?
- 21.Priya is 10 years older than Meera. In 6 years, the sum of their ages will be 48. How old is Meera now?
- 22.Karan’s father is four times as old as Karan. The sum of their ages is 25 years. How old is the father?
- 23.Arjun’s father is three times as old as Arjun. The sum of their ages is 48 years. How old is the father?
- 24.Manav is 6 years older than Vivaan. In 6 years, the sum of their ages will be 46. How old is Vivaan now?
- 25.Rohan’s father is five times as old as Rohan. The sum of their ages is 66 years. How old is Rohan?
- 26.In 17 years, Zoya will be twice as old as Zoya was 3 years ago. How old is Zoya now?
- 27.Aarav is 2 years older than Ananya. In 9 years, the sum of their ages will be 80. How old is Ananya now?
- 28.In 29 years, Karan will be three times as old as Karan was 3 years ago. How old is Karan now?
- 29.In 2 years, Manav will be twice as old as Manav was 5 years ago. How old is Manav now?
- 30.In 23 years, Aditya will be three times as old as Aditya was 3 years ago. How old is Aditya now?
- 31.Farhan’s father is three times as old as Farhan. The sum of their ages is 40 years. How old is the father?
- 32.8 years ago, Kavya’s mother was twice as old as Kavya. The mother is 20 years old now. How old is Kavya now?
- 33.Ananya is 4 years older than Kabir. In 5 years, the sum of their ages will be 40. How old is Kabir now?
- 34.In 5 years, Aarav will be twice as old as Aarav was 5 years ago. How old is Aarav now?
- 35.In 21 years, Vivaan will be three times as old as Vivaan was 5 years ago. How old is Vivaan now?
- 36.Kavya’s father is five times as old as Kavya. The sum of their ages is 48 years. How old is the father?
- 37.2 years ago, Rahul’s mother was twice as old as Rahul. The mother is 20 years old now. How old is Rahul now?
- 38.Vivaan is 4 years older than Dev. In 2 years, the sum of their ages will be 52. How old is Dev now?
- 39.In 23 years, Ishaan will be twice as old as Ishaan was 5 years ago. How old is Ishaan now?
- 40.Ananya’s father is twice as old as Ananya. The sum of their ages is 24 years. How old is the father?
Answer key
- 18
- 19
- 55
- 21
- 11
- 22
- 11
- 18
- 10
- 24
- 15
- 8
- 6
- 24
- 15
- 33
- 26
- 22
- 20
- 12
- 13
- 20
- 36
- 14
- 11
- 23
- 30
- 19
- 12
- 16
- 30
- 14
- 13
- 15
- 18
- 40
- 11
- 22
- 33
- 16
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