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.Diya’s father is three times as old as Diya. The sum of their ages is 56 years. How old is the father?
- 2.4 years ago, Rahul’s mother was three times as old as Rahul. The mother is 37 years old now. How old is Rahul now?
- 3.Nisha is 8 years older than Diya. In 10 years, the sum of their ages will be 82. How old is Diya now?
- 4.Zoya’s father is five times as old as Zoya. The sum of their ages is 42 years. How old is Zoya?
- 5.Arjun’s father is four times as old as Arjun. The sum of their ages is 50 years. How old is Arjun?
- 6.3 years ago, Manav’s mother was twice as old as Manav. The mother is 9 years old now. How old is Manav now?
- 7.In 6 years, Manav will be twice as old as Manav was 3 years ago. How old is Manav now?
- 8.10 years ago, Aarav’s mother was twice as old as Aarav. The mother is 20 years old now. How old is Aarav now?
- 9.In 5 years, Sneha will be twice as old as Sneha was 5 years ago. How old is Sneha now?
- 10.4 years ago, Sneha’s mother was three times as old as Sneha. The mother is 25 years old now. How old is Sneha now?
- 11.In 29 years, Karan will be twice as old as Karan was 3 years ago. How old is Karan now?
- 12.Diya’s father is five times as old as Diya. The sum of their ages is 60 years. How old is Diya?
- 13.Karan is 9 years older than Tara. In 6 years, the sum of their ages will be 73. How old is Tara now?
- 14.Dev’s father is three times as old as Dev. The sum of their ages is 36 years. How old is Dev?
- 15.In 22 years, Aditya will be twice as old as Aditya was 4 years ago. How old is Aditya now?
- 16.Ananya is 3 years older than Aarav. In 3 years, the sum of their ages will be 31. How old is Aarav now?
- 17.Aarav is 2 years older than Diya. In 4 years, the sum of their ages will be 32. How old is Diya now?
- 18.Dev is 7 years older than Isha. In 3 years, the sum of their ages will be 39. How old is Isha now?
- 19.3 years ago, Meera’s mother was four times as old as Meera. The mother is 23 years old now. How old is Meera now?
- 20.Dev is 5 years older than Sneha. In 3 years, the sum of their ages will be 43. How old is Sneha now?
- 21.2 years ago, Ishaan’s mother was twice as old as Ishaan. The mother is 12 years old now. How old is Ishaan now?
- 22.6 years ago, Zoya’s mother was twice as old as Zoya. The mother is 14 years old now. How old is Zoya now?
- 23.Saanvi is 4 years older than Ananya. In 5 years, the sum of their ages will be 38. How old is Ananya now?
- 24.Sneha’s father is three times as old as Sneha. The sum of their ages is 36 years. How old is the father?
- 25.In 23 years, Tara will be twice as old as Tara was 4 years ago. How old is Tara now?
- 26.Zoya’s father is twice as old as Zoya. The sum of their ages is 18 years. How old is Zoya?
- 27.2 years ago, Zoya’s mother was four times as old as Zoya. The mother is 22 years old now. How old is Zoya now?
- 28.5 years ago, Diya’s mother was twice as old as Diya. The mother is 15 years old now. How old is Diya now?
- 29.Zoya is 5 years older than Arjun. In 3 years, the sum of their ages will be 27. How old is Arjun now?
- 30.Kavya’s father is twice as old as Kavya. The sum of their ages is 36 years. How old is Kavya?
- 31.8 years ago, Ananya’s mother was twice as old as Ananya. The mother is 28 years old now. How old is Ananya now?
- 32.2 years ago, Zoya’s mother was twice as old as Zoya. The mother is 20 years old now. How old is Zoya now?
- 33.Saanvi’s father is five times as old as Saanvi. The sum of their ages is 78 years. How old is the father?
- 34.Kavya is 9 years older than Meera. In 9 years, the sum of their ages will be 87. How old is Meera now?
- 35.In 24 years, Saanvi will be twice as old as Saanvi was 6 years ago. How old is Saanvi now?
- 36.In 11 years, Farhan will be twice as old as Farhan was 5 years ago. How old is Farhan now?
- 37.5 years ago, Dev’s mother was four times as old as Dev. The mother is 37 years old now. How old is Dev now?
- 38.In 12 years, Aditya will be twice as old as Aditya was 6 years ago. How old is Aditya now?
- 39.In 3 years, Saanvi will be twice as old as Saanvi was 6 years ago. How old is Saanvi now?
- 40.Rohan is 8 years older than Pooja. In 5 years, the sum of their ages will be 60. How old is Pooja now?
Answer key
- 42
- 15
- 27
- 7
- 10
- 6
- 12
- 15
- 15
- 11
- 35
- 10
- 26
- 9
- 30
- 11
- 11
- 13
- 8
- 16
- 7
- 10
- 12
- 27
- 31
- 6
- 7
- 10
- 8
- 12
- 18
- 11
- 65
- 30
- 36
- 21
- 13
- 24
- 15
- 21
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