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.In 9 years, Vivaan will be three times as old as Vivaan was 5 years ago. How old is Vivaan now?
- 2.Diya is 8 years older than Aarav. In 5 years, the sum of their ages will be 32. How old is Aarav now?
- 3.8 years ago, Ishaan’s mother was twice as old as Ishaan. The mother is 20 years old now. How old is Ishaan now?
- 4.Saanvi’s father is five times as old as Saanvi. The sum of their ages is 42 years. How old is Saanvi?
- 5.Aarav’s father is four times as old as Aarav. The sum of their ages is 55 years. How old is Aarav?
- 6.Tara’s father is five times as old as Tara. The sum of their ages is 66 years. How old is the father?
- 7.Dev’s father is four times as old as Dev. The sum of their ages is 25 years. How old is the father?
- 8.8 years ago, Saanvi’s mother was twice as old as Saanvi. The mother is 28 years old now. How old is Saanvi now?
- 9.Vivaan’s father is four times as old as Vivaan. The sum of their ages is 25 years. How old is the father?
- 10.Tara’s father is twice as old as Tara. The sum of their ages is 18 years. How old is the father?
- 11.5 years ago, Zoya’s mother was four times as old as Zoya. The mother is 33 years old now. How old is Zoya now?
- 12.Rohan is 9 years older than Priya. In 9 years, the sum of their ages will be 57. How old is Priya now?
- 13.Zoya is 10 years older than Sneha. In 2 years, the sum of their ages will be 38. How old is Sneha now?
- 14.9 years ago, Aditya’s mother was twice as old as Aditya. The mother is 33 years old now. How old is Aditya now?
- 15.Tara’s father is three times as old as Tara. The sum of their ages is 52 years. How old is Tara?
- 16.Priya is 2 years older than Tara. In 4 years, the sum of their ages will be 46. How old is Tara now?
- 17.Aditya’s father is twice as old as Aditya. The sum of their ages is 39 years. How old is the father?
- 18.Tara’s father is twice as old as Tara. The sum of their ages is 27 years. How old is the father?
- 19.In 21 years, Isha will be twice as old as Isha was 6 years ago. How old is Isha now?
- 20.2 years ago, Rohan’s mother was three times as old as Rohan. The mother is 23 years old now. How old is Rohan now?
- 21.Priya is 8 years older than Arjun. In 7 years, the sum of their ages will be 54. How old is Arjun now?
- 22.In 24 years, Kavya will be three times as old as Kavya was 2 years ago. How old is Kavya now?
- 23.3 years ago, Aditya’s mother was twice as old as Aditya. The mother is 21 years old now. How old is Aditya now?
- 24.In 14 years, Isha will be twice as old as Isha was 3 years ago. How old is Isha now?
- 25.Kavya is 8 years older than Meera. In 8 years, the sum of their ages will be 72. How old is Meera now?
- 26.Farhan’s father is twice as old as Farhan. The sum of their ages is 24 years. How old is the father?
- 27.4 years ago, Farhan’s mother was three times as old as Farhan. The mother is 37 years old now. How old is Farhan now?
- 28.Karan is 8 years older than Ishaan. In 3 years, the sum of their ages will be 44. How old is Ishaan now?
- 29.Dev is 3 years older than Vivaan. In 5 years, the sum of their ages will be 31. How old is Vivaan now?
- 30.7 years ago, Arjun’s mother was twice as old as Arjun. The mother is 21 years old now. How old is Arjun now?
- 31.Meera’s father is twice as old as Meera. The sum of their ages is 36 years. How old is the father?
- 32.Vivaan is 8 years older than Rahul. In 6 years, the sum of their ages will be 80. How old is Rahul now?
- 33.3 years ago, Sneha’s mother was three times as old as Sneha. The mother is 36 years old now. How old is Sneha now?
- 34.Kabir is 8 years older than Ananya. In 9 years, the sum of their ages will be 68. How old is Ananya now?
- 35.Farhan is 2 years older than Priya. In 5 years, the sum of their ages will be 46. How old is Priya now?
- 36.2 years ago, Diya’s mother was four times as old as Diya. The mother is 26 years old now. How old is Diya now?
- 37.In 8 years, Isha will be twice as old as Isha was 3 years ago. How old is Isha now?
- 38.In 8 years, Nisha will be twice as old as Nisha was 4 years ago. How old is Nisha now?
- 39.Arjun’s father is five times as old as Arjun. The sum of their ages is 90 years. How old is Arjun?
- 40.In 17 years, Meera will be twice as old as Meera was 2 years ago. How old is Meera now?
Answer key
- 12
- 7
- 14
- 7
- 11
- 55
- 20
- 18
- 20
- 12
- 12
- 15
- 12
- 21
- 13
- 18
- 26
- 18
- 33
- 9
- 16
- 15
- 12
- 20
- 24
- 16
- 15
- 15
- 9
- 14
- 24
- 30
- 14
- 21
- 17
- 8
- 14
- 16
- 15
- 21
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