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
- 1.7 years ago, Arjun’s mother was twice as old as Arjun. The mother is 13 years old now. How old is Arjun now?
- 2.Priya’s father is five times as old as Priya. The sum of their ages is 72 years. How old is Priya?
- 3.Aarav’s father is twice as old as Aarav. The sum of their ages is 21 years. How old is the father?
- 4.In 19 years, Saanvi will be twice as old as Saanvi was 5 years ago. How old is Saanvi now?
- 5.7 years ago, Kavya’s mother was twice as old as Kavya. The mother is 23 years old now. How old is Kavya now?
- 6.8 years ago, Tara’s mother was four times as old as Tara. The mother is 32 years old now. How old is Tara now?
- 7.Karan is 4 years older than Zoya. In 10 years, the sum of their ages will be 78. How old is Zoya now?
- 8.In 15 years, Kabir will be twice as old as Kabir was 2 years ago. How old is Kabir now?
- 9.In 10 years, Isha will be three times as old as Isha was 2 years ago. How old is Isha now?
- 10.Saanvi’s father is twice as old as Saanvi. The sum of their ages is 30 years. How old is Saanvi?
- 11.9 years ago, Rohan’s mother was twice as old as Rohan. The mother is 19 years old now. How old is Rohan now?
- 12.In 21 years, Isha will be twice as old as Isha was 6 years ago. How old is Isha now?
- 13.Ishaan’s father is twice as old as Ishaan. The sum of their ages is 18 years. How old is Ishaan?
- 14.Rahul’s father is four times as old as Rahul. The sum of their ages is 75 years. How old is the father?
- 15.Dev is 8 years older than Aarav. In 3 years, the sum of their ages will be 70. How old is Aarav now?
- 16.Pooja’s father is four times as old as Pooja. The sum of their ages is 35 years. How old is Pooja?
- 17.8 years ago, Saanvi’s mother was four times as old as Saanvi. The mother is 36 years old now. How old is Saanvi now?
- 18.In 8 years, Tara will be twice as old as Tara was 4 years ago. How old is Tara now?
- 19.In 5 years, Ishaan will be twice as old as Ishaan was 2 years ago. How old is Ishaan now?
- 20.5 years ago, Isha’s mother was four times as old as Isha. The mother is 41 years old now. How old is Isha now?
- 21.Priya’s father is five times as old as Priya. The sum of their ages is 30 years. How old is the father?
- 22.Vivaan’s father is twice as old as Vivaan. The sum of their ages is 42 years. How old is the father?
- 23.In 5 years, Diya will be twice as old as Diya was 2 years ago. How old is Diya now?
- 24.In 19 years, Farhan will be twice as old as Farhan was 3 years ago. How old is Farhan now?
- 25.Manav’s father is five times as old as Manav. The sum of their ages is 66 years. How old is Manav?
- 26.In 23 years, Ananya will be twice as old as Ananya was 2 years ago. How old is Ananya now?
- 27.Priya’s father is five times as old as Priya. The sum of their ages is 84 years. How old is Priya?
- 28.In 29 years, Manav will be twice as old as Manav was 2 years ago. How old is Manav now?
- 29.In 10 years, Arjun will be twice as old as Arjun was 2 years ago. How old is Arjun now?
- 30.Diya is 2 years older than Rahul. In 10 years, the sum of their ages will be 78. How old is Rahul now?
- 31.10 years ago, Zoya’s mother was four times as old as Zoya. The mother is 26 years old now. How old is Zoya now?
- 32.Sneha is 10 years older than Priya. In 9 years, the sum of their ages will be 54. How old is Priya now?
- 33.Aarav is 3 years older than Farhan. In 8 years, the sum of their ages will be 37. How old is Farhan now?
- 34.Zoya is 6 years older than Aarav. In 7 years, the sum of their ages will be 76. How old is Aarav now?
- 35.Saanvi’s father is three times as old as Saanvi. The sum of their ages is 20 years. How old is Saanvi?
- 36.Rohan’s father is three times as old as Rohan. The sum of their ages is 24 years. How old is the father?
- 37.7 years ago, Rohan’s mother was four times as old as Rohan. The mother is 19 years old now. How old is Rohan now?
- 38.10 years ago, Rohan’s mother was four times as old as Rohan. The mother is 30 years old now. How old is Rohan now?
- 39.In 6 years, Isha will be twice as old as Isha was 5 years ago. How old is Isha now?
- 40.Ananya’s father is twice as old as Ananya. The sum of their ages is 15 years. How old is the father?
Answer key
- 10
- 12
- 14
- 29
- 15
- 14
- 27
- 19
- 8
- 10
- 14
- 33
- 6
- 60
- 28
- 7
- 15
- 16
- 9
- 14
- 25
- 28
- 9
- 25
- 11
- 27
- 14
- 33
- 14
- 28
- 14
- 13
- 9
- 28
- 5
- 18
- 10
- 15
- 16
- 10
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