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 five times as old as Diya. The sum of their ages is 30 years. How old is Diya?
- 2.6 years ago, Pooja’s mother was four times as old as Pooja. The mother is 34 years old now. How old is Pooja now?
- 3.In 24 years, Diya will be twice as old as Diya was 2 years ago. How old is Diya now?
- 4.3 years ago, Priya’s mother was four times as old as Priya. The mother is 51 years old now. How old is Priya now?
- 5.Farhan is 7 years older than Arjun. In 5 years, the sum of their ages will be 47. How old is Arjun now?
- 6.In 3 years, Aarav will be twice as old as Aarav was 5 years ago. How old is Aarav now?
- 7.8 years ago, Kavya’s mother was twice as old as Kavya. The mother is 28 years old now. How old is Kavya now?
- 8.In 12 years, Diya will be three times as old as Diya was 4 years ago. How old is Diya now?
- 9.Dev’s father is twice as old as Dev. The sum of their ages is 27 years. How old is Dev?
- 10.10 years ago, Vivaan’s mother was four times as old as Vivaan. The mother is 22 years old now. How old is Vivaan now?
- 11.In 6 years, Nisha will be twice as old as Nisha was 5 years ago. How old is Nisha now?
- 12.3 years ago, Ananya’s mother was twice as old as Ananya. The mother is 23 years old now. How old is Ananya now?
- 13.Karan is 8 years older than Priya. In 3 years, the sum of their ages will be 34. How old is Priya now?
- 14.Ananya is 8 years older than Manav. In 7 years, the sum of their ages will be 72. How old is Manav now?
- 15.3 years ago, Diya’s mother was three times as old as Diya. The mother is 24 years old now. How old is Diya now?
- 16.Kavya’s father is three times as old as Kavya. The sum of their ages is 24 years. How old is the father?
- 17.Manav’s father is twice as old as Manav. The sum of their ages is 39 years. How old is the father?
- 18.5 years ago, Zoya’s mother was twice as old as Zoya. The mother is 11 years old now. How old is Zoya now?
- 19.8 years ago, Rohan’s mother was three times as old as Rohan. The mother is 35 years old now. How old is Rohan now?
- 20.Vivaan is 7 years older than Rohan. In 4 years, the sum of their ages will be 35. How old is Rohan now?
- 21.Ishaan is 6 years older than Zoya. In 7 years, the sum of their ages will be 52. How old is Zoya now?
- 22.Aditya’s father is three times as old as Aditya. The sum of their ages is 32 years. How old is Aditya?
- 23.Pooja’s father is five times as old as Pooja. The sum of their ages is 78 years. How old is Pooja?
- 24.Sneha’s father is three times as old as Sneha. The sum of their ages is 24 years. How old is the father?
- 25.Aarav’s father is twice as old as Aarav. The sum of their ages is 33 years. How old is the father?
- 26.Meera’s father is four times as old as Meera. The sum of their ages is 30 years. How old is Meera?
- 27.2 years ago, Aarav’s mother was twice as old as Aarav. The mother is 12 years old now. How old is Aarav now?
- 28.Dev’s father is three times as old as Dev. The sum of their ages is 48 years. How old is the father?
- 29.5 years ago, Manav’s mother was three times as old as Manav. The mother is 17 years old now. How old is Manav now?
- 30.2 years ago, Diya’s mother was four times as old as Diya. The mother is 14 years old now. How old is Diya now?
- 31.4 years ago, Sneha’s mother was four times as old as Sneha. The mother is 40 years old now. How old is Sneha now?
- 32.Sneha’s father is four times as old as Sneha. The sum of their ages is 45 years. How old is the father?
- 33.Ananya’s father is three times as old as Ananya. The sum of their ages is 36 years. How old is the father?
- 34.Sneha is 2 years older than Aditya. In 5 years, the sum of their ages will be 68. How old is Aditya now?
- 35.In 4 years, Sneha will be twice as old as Sneha was 4 years ago. How old is Sneha now?
- 36.Isha is 2 years older than Rohan. In 2 years, the sum of their ages will be 52. How old is Rohan now?
- 37.Ishaan is 3 years older than Ananya. In 7 years, the sum of their ages will be 33. How old is Ananya now?
- 38.3 years ago, Ishaan’s mother was twice as old as Ishaan. The mother is 23 years old now. How old is Ishaan now?
- 39.In 9 years, Vivaan will be twice as old as Vivaan was 2 years ago. How old is Vivaan now?
- 40.In 27 years, Saanvi will be twice as old as Saanvi was 4 years ago. How old is Saanvi now?
Answer key
- 5
- 13
- 28
- 15
- 15
- 13
- 18
- 12
- 9
- 13
- 16
- 13
- 10
- 25
- 10
- 18
- 26
- 8
- 17
- 10
- 16
- 8
- 13
- 18
- 22
- 6
- 7
- 36
- 9
- 5
- 13
- 36
- 27
- 28
- 12
- 23
- 8
- 13
- 13
- 35
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