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.Priya’s father is three times as old as Priya. The sum of their ages is 60 years. How old is Priya?
- 2.10 years ago, Zoya’s mother was twice as old as Zoya. The mother is 28 years old now. How old is Zoya now?
- 3.Diya is 10 years older than Aarav. In 10 years, the sum of their ages will be 54. How old is Aarav now?
- 4.Meera is 7 years older than Diya. In 3 years, the sum of their ages will be 33. How old is Diya now?
- 5.In 6 years, Priya will be twice as old as Priya was 5 years ago. How old is Priya now?
- 6.6 years ago, Meera’s mother was three times as old as Meera. The mother is 24 years old now. How old is Meera now?
- 7.Pooja is 2 years older than Diya. In 3 years, the sum of their ages will be 34. How old is Diya now?
- 8.In 7 years, Zoya will be twice as old as Zoya was 5 years ago. How old is Zoya now?
- 9.Arjun is 8 years older than Dev. In 4 years, the sum of their ages will be 38. How old is Dev now?
- 10.In 11 years, Aditya will be twice as old as Aditya was 2 years ago. How old is Aditya now?
- 11.Arjun is 5 years older than Pooja. In 9 years, the sum of their ages will be 77. How old is Pooja now?
- 12.In 14 years, Farhan will be twice as old as Farhan was 2 years ago. How old is Farhan now?
- 13.In 28 years, Rahul will be twice as old as Rahul was 4 years ago. How old is Rahul now?
- 14.Saanvi’s father is twice as old as Saanvi. The sum of their ages is 18 years. How old is the father?
- 15.Aditya’s father is three times as old as Aditya. The sum of their ages is 24 years. How old is Aditya?
- 16.8 years ago, Pooja’s mother was three times as old as Pooja. The mother is 20 years old now. How old is Pooja now?
- 17.Kavya is 5 years older than Saanvi. In 6 years, the sum of their ages will be 49. How old is Saanvi now?
- 18.10 years ago, Priya’s mother was twice as old as Priya. The mother is 16 years old now. How old is Priya now?
- 19.Pooja is 8 years older than Diya. In 10 years, the sum of their ages will be 56. How old is Diya now?
- 20.Meera’s father is five times as old as Meera. The sum of their ages is 54 years. How old is the father?
- 21.In 14 years, Rahul will be twice as old as Rahul was 2 years ago. How old is Rahul now?
- 22.Zoya is 6 years older than Diya. In 2 years, the sum of their ages will be 44. How old is Diya now?
- 23.Meera is 5 years older than Aditya. In 9 years, the sum of their ages will be 43. How old is Aditya now?
- 24.Ishaan is 9 years older than Aarav. In 2 years, the sum of their ages will be 65. How old is Aarav now?
- 25.In 26 years, Rahul will be three times as old as Rahul was 2 years ago. How old is Rahul now?
- 26.Saanvi’s father is twice as old as Saanvi. The sum of their ages is 30 years. How old is the father?
- 27.Priya’s father is four times as old as Priya. The sum of their ages is 75 years. How old is Priya?
- 28.In 6 years, Sneha will be three times as old as Sneha was 6 years ago. How old is Sneha now?
- 29.Ishaan is 2 years older than Tara. In 5 years, the sum of their ages will be 70. How old is Tara now?
- 30.Meera is 8 years older than Tara. In 7 years, the sum of their ages will be 48. How old is Tara now?
- 31.In 24 years, Priya will be twice as old as Priya was 6 years ago. How old is Priya now?
- 32.7 years ago, Diya’s mother was twice as old as Diya. The mother is 15 years old now. How old is Diya now?
- 33.Aditya’s father is twice as old as Aditya. The sum of their ages is 24 years. How old is the father?
- 34.In 26 years, Saanvi will be three times as old as Saanvi was 2 years ago. How old is Saanvi now?
- 35.6 years ago, Ananya’s mother was twice as old as Ananya. The mother is 28 years old now. How old is Ananya now?
- 36.Karan is 4 years older than Isha. In 4 years, the sum of their ages will be 40. How old is Isha now?
- 37.Aditya is 4 years older than Aarav. In 10 years, the sum of their ages will be 46. How old is Aarav now?
- 38.Manav is 7 years older than Arjun. In 3 years, the sum of their ages will be 65. How old is Arjun now?
- 39.Priya is 3 years older than Pooja. In 3 years, the sum of their ages will be 69. How old is Pooja now?
- 40.Tara’s father is four times as old as Tara. The sum of their ages is 40 years. How old is Tara?
Answer key
- 15
- 19
- 12
- 10
- 16
- 12
- 13
- 17
- 11
- 15
- 27
- 18
- 36
- 12
- 6
- 12
- 16
- 13
- 14
- 45
- 18
- 17
- 10
- 26
- 16
- 20
- 15
- 12
- 29
- 13
- 36
- 11
- 16
- 16
- 17
- 14
- 11
- 26
- 30
- 8
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