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 is 9 years older than Aditya. In 4 years, the sum of their ages will be 53. How old is Aditya now?
- 2.In 2 years, Aditya will be twice as old as Aditya was 6 years ago. How old is Aditya now?
- 3.9 years ago, Isha’s mother was twice as old as Isha. The mother is 31 years old now. How old is Isha now?
- 4.Pooja’s father is five times as old as Pooja. The sum of their ages is 84 years. How old is Pooja?
- 5.Pooja’s father is three times as old as Pooja. The sum of their ages is 48 years. How old is Pooja?
- 6.6 years ago, Manav’s mother was four times as old as Manav. The mother is 38 years old now. How old is Manav now?
- 7.4 years ago, Zoya’s mother was three times as old as Zoya. The mother is 13 years old now. How old is Zoya now?
- 8.4 years ago, Aditya’s mother was three times as old as Aditya. The mother is 34 years old now. How old is Aditya now?
- 9.In 28 years, Aditya will be three times as old as Aditya was 4 years ago. How old is Aditya now?
- 10.10 years ago, Diya’s mother was twice as old as Diya. The mother is 20 years old now. How old is Diya now?
- 11.Priya’s father is twice as old as Priya. The sum of their ages is 24 years. How old is the father?
- 12.Nisha’s father is four times as old as Nisha. The sum of their ages is 25 years. How old is Nisha?
- 13.In 19 years, Arjun will be twice as old as Arjun was 2 years ago. How old is Arjun now?
- 14.Meera is 7 years older than Rahul. In 8 years, the sum of their ages will be 33. How old is Rahul now?
- 15.4 years ago, Arjun’s mother was four times as old as Arjun. The mother is 16 years old now. How old is Arjun now?
- 16.In 16 years, Zoya will be twice as old as Zoya was 2 years ago. How old is Zoya now?
- 17.Aarav’s father is four times as old as Aarav. The sum of their ages is 30 years. How old is the father?
- 18.Dev is 10 years older than Aditya. In 7 years, the sum of their ages will be 68. How old is Aditya now?
- 19.In 28 years, Rahul will be twice as old as Rahul was 6 years ago. How old is Rahul now?
- 20.Vivaan is 6 years older than Isha. In 8 years, the sum of their ages will be 40. How old is Isha now?
- 21.Meera’s father is five times as old as Meera. The sum of their ages is 48 years. How old is Meera?
- 22.In 13 years, Farhan will be twice as old as Farhan was 6 years ago. How old is Farhan now?
- 23.Ananya’s father is twice as old as Ananya. The sum of their ages is 36 years. How old is the father?
- 24.2 years ago, Zoya’s mother was twice as old as Zoya. The mother is 12 years old now. How old is Zoya now?
- 25.Aarav’s father is three times as old as Aarav. The sum of their ages is 52 years. How old is Aarav?
- 26.Farhan is 9 years older than Karan. In 3 years, the sum of their ages will be 25. How old is Karan now?
- 27.Ishaan is 3 years older than Meera. In 3 years, the sum of their ages will be 39. How old is Meera now?
- 28.Sneha’s father is four times as old as Sneha. The sum of their ages is 65 years. How old is Sneha?
- 29.Ishaan is 10 years older than Saanvi. In 4 years, the sum of their ages will be 46. How old is Saanvi now?
- 30.10 years ago, Karan’s mother was twice as old as Karan. The mother is 18 years old now. How old is Karan now?
- 31.In 28 years, Isha will be three times as old as Isha was 6 years ago. How old is Isha now?
- 32.In 9 years, Dev will be twice as old as Dev was 2 years ago. How old is Dev now?
- 33.In 18 years, Kabir will be three times as old as Kabir was 4 years ago. How old is Kabir now?
- 34.Sneha’s father is five times as old as Sneha. The sum of their ages is 36 years. How old is the father?
- 35.In 14 years, Farhan will be three times as old as Farhan was 2 years ago. How old is Farhan now?
- 36.Farhan’s father is four times as old as Farhan. The sum of their ages is 45 years. How old is Farhan?
- 37.Kabir’s father is five times as old as Kabir. The sum of their ages is 60 years. How old is Kabir?
- 38.10 years ago, Sneha’s mother was three times as old as Sneha. The mother is 46 years old now. How old is Sneha now?
- 39.Priya’s father is three times as old as Priya. The sum of their ages is 36 years. How old is the father?
- 40.9 years ago, Vivaan’s mother was four times as old as Vivaan. The mother is 49 years old now. How old is Vivaan now?
Answer key
- 18
- 14
- 20
- 14
- 12
- 14
- 7
- 14
- 20
- 15
- 16
- 5
- 23
- 5
- 7
- 20
- 24
- 22
- 40
- 9
- 8
- 25
- 24
- 7
- 13
- 5
- 15
- 13
- 14
- 14
- 23
- 13
- 15
- 30
- 10
- 9
- 10
- 22
- 27
- 19
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