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 3 years older than Nisha. In 8 years, the sum of their ages will be 37. How old is Nisha now?
- 2.Kabir is 4 years older than Diya. In 10 years, the sum of their ages will be 48. How old is Diya now?
- 3.Priya’s father is four times as old as Priya. The sum of their ages is 70 years. How old is the father?
- 4.In 13 years, Sneha will be twice as old as Sneha was 5 years ago. How old is Sneha now?
- 5.Dev’s father is twice as old as Dev. The sum of their ages is 24 years. How old is the father?
- 6.Ishaan is 3 years older than Aarav. In 4 years, the sum of their ages will be 35. How old is Aarav now?
- 7.Nisha is 10 years older than Saanvi. In 6 years, the sum of their ages will be 50. How old is Saanvi now?
- 8.Pooja is 10 years older than Kavya. In 4 years, the sum of their ages will be 28. How old is Kavya now?
- 9.In 8 years, Arjun will be twice as old as Arjun was 3 years ago. How old is Arjun now?
- 10.Diya’s father is five times as old as Diya. The sum of their ages is 84 years. How old is Diya?
- 11.Karan is 5 years older than Diya. In 3 years, the sum of their ages will be 21. How old is Diya now?
- 12.Tara’s father is five times as old as Tara. The sum of their ages is 36 years. How old is Tara?
- 13.Nisha’s father is four times as old as Nisha. The sum of their ages is 30 years. How old is Nisha?
- 14.In 5 years, Aarav will be twice as old as Aarav was 3 years ago. How old is Aarav now?
- 15.Nisha’s father is four times as old as Nisha. The sum of their ages is 75 years. How old is Nisha?
- 16.3 years ago, Isha’s mother was twice as old as Isha. The mother is 13 years old now. How old is Isha now?
- 17.Aarav’s father is three times as old as Aarav. The sum of their ages is 48 years. How old is Aarav?
- 18.Pooja is 2 years older than Arjun. In 3 years, the sum of their ages will be 54. How old is Arjun now?
- 19.5 years ago, Vivaan’s mother was three times as old as Vivaan. The mother is 32 years old now. How old is Vivaan now?
- 20.Karan’s father is four times as old as Karan. The sum of their ages is 35 years. How old is Karan?
- 21.In 2 years, Diya will be twice as old as Diya was 6 years ago. How old is Diya now?
- 22.9 years ago, Isha’s mother was twice as old as Isha. The mother is 27 years old now. How old is Isha now?
- 23.In 20 years, Rahul will be twice as old as Rahul was 5 years ago. How old is Rahul now?
- 24.Rohan is 2 years older than Kavya. In 2 years, the sum of their ages will be 54. How old is Kavya now?
- 25.6 years ago, Aditya’s mother was twice as old as Aditya. The mother is 22 years old now. How old is Aditya now?
- 26.In 2 years, Nisha will be twice as old as Nisha was 4 years ago. How old is Nisha now?
- 27.Farhan’s father is three times as old as Farhan. The sum of their ages is 24 years. How old is Farhan?
- 28.2 years ago, Ananya’s mother was twice as old as Ananya. The mother is 16 years old now. How old is Ananya now?
- 29.6 years ago, Zoya’s mother was three times as old as Zoya. The mother is 39 years old now. How old is Zoya now?
- 30.Nisha is 5 years older than Arjun. In 10 years, the sum of their ages will be 83. How old is Arjun now?
- 31.In 18 years, Tara will be three times as old as Tara was 2 years ago. How old is Tara now?
- 32.3 years ago, Zoya’s mother was four times as old as Zoya. The mother is 43 years old now. How old is Zoya now?
- 33.Arjun is 8 years older than Saanvi. In 6 years, the sum of their ages will be 54. How old is Saanvi now?
- 34.9 years ago, Farhan’s mother was twice as old as Farhan. The mother is 23 years old now. How old is Farhan now?
- 35.Saanvi is 6 years older than Aditya. In 5 years, the sum of their ages will be 30. How old is Aditya now?
- 36.7 years ago, Isha’s mother was four times as old as Isha. The mother is 23 years old now. How old is Isha now?
- 37.In 10 years, Tara will be three times as old as Tara was 2 years ago. How old is Tara now?
- 38.Aditya’s father is twice as old as Aditya. The sum of their ages is 15 years. How old is Aditya?
- 39.Priya’s father is twice as old as Priya. The sum of their ages is 21 years. How old is the father?
- 40.2 years ago, Aditya’s mother was twice as old as Aditya. The mother is 10 years old now. How old is Aditya now?
Answer key
- 9
- 12
- 56
- 23
- 16
- 12
- 14
- 5
- 14
- 14
- 5
- 6
- 6
- 11
- 15
- 8
- 12
- 23
- 14
- 7
- 14
- 18
- 30
- 24
- 14
- 10
- 6
- 9
- 17
- 29
- 12
- 13
- 17
- 16
- 7
- 11
- 8
- 5
- 14
- 6
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