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.Aarav’s father is twice as old as Aarav. The sum of their ages is 36 years. How old is Aarav?
- 2.In 12 years, Diya will be twice as old as Diya was 5 years ago. How old is Diya now?
- 3.Sneha’s father is twice as old as Sneha. The sum of their ages is 18 years. How old is Sneha?
- 4.In 19 years, Ananya will be twice as old as Ananya was 2 years ago. How old is Ananya now?
- 5.Isha’s father is four times as old as Isha. The sum of their ages is 70 years. How old is Isha?
- 6.7 years ago, Farhan’s mother was four times as old as Farhan. The mother is 55 years old now. How old is Farhan now?
- 7.In 29 years, Rahul will be twice as old as Rahul was 5 years ago. How old is Rahul now?
- 8.In 18 years, Tara will be twice as old as Tara was 3 years ago. How old is Tara now?
- 9.In 16 years, Farhan will be twice as old as Farhan was 3 years ago. How old is Farhan now?
- 10.2 years ago, Sneha’s mother was three times as old as Sneha. The mother is 26 years old now. How old is Sneha now?
- 11.In 10 years, Farhan will be three times as old as Farhan was 2 years ago. How old is Farhan now?
- 12.Farhan’s father is twice as old as Farhan. The sum of their ages is 45 years. How old is the father?
- 13.In 13 years, Vivaan will be twice as old as Vivaan was 3 years ago. How old is Vivaan now?
- 14.Diya’s father is four times as old as Diya. The sum of their ages is 50 years. How old is the father?
- 15.Vivaan is 4 years older than Karan. In 6 years, the sum of their ages will be 32. How old is Karan now?
- 16.Aarav is 6 years older than Sneha. In 10 years, the sum of their ages will be 46. How old is Sneha now?
- 17.In 24 years, Karan will be twice as old as Karan was 4 years ago. How old is Karan now?
- 18.2 years ago, Saanvi’s mother was three times as old as Saanvi. The mother is 35 years old now. How old is Saanvi now?
- 19.10 years ago, Ishaan’s mother was three times as old as Ishaan. The mother is 25 years old now. How old is Ishaan now?
- 20.In 24 years, Pooja will be three times as old as Pooja was 2 years ago. How old is Pooja now?
- 21.In 4 years, Aditya will be twice as old as Aditya was 6 years ago. How old is Aditya now?
- 22.Vivaan’s father is four times as old as Vivaan. The sum of their ages is 55 years. How old is Vivaan?
- 23.Vivaan’s father is five times as old as Vivaan. The sum of their ages is 54 years. How old is Vivaan?
- 24.5 years ago, Dev’s mother was three times as old as Dev. The mother is 26 years old now. How old is Dev now?
- 25.Zoya is 6 years older than Aarav. In 5 years, the sum of their ages will be 64. How old is Aarav now?
- 26.In 15 years, Farhan will be three times as old as Farhan was 3 years ago. How old is Farhan now?
- 27.Saanvi’s father is four times as old as Saanvi. The sum of their ages is 55 years. How old is the father?
- 28.In 21 years, Isha will be three times as old as Isha was 3 years ago. How old is Isha now?
- 29.In 22 years, Ishaan will be twice as old as Ishaan was 2 years ago. How old is Ishaan now?
- 30.Farhan’s father is twice as old as Farhan. The sum of their ages is 27 years. How old is Farhan?
- 31.Meera’s father is twice as old as Meera. The sum of their ages is 39 years. How old is the father?
- 32.Tara is 4 years older than Manav. In 9 years, the sum of their ages will be 78. How old is Manav now?
- 33.9 years ago, Nisha’s mother was four times as old as Nisha. The mother is 33 years old now. How old is Nisha now?
- 34.In 28 years, Dev will be three times as old as Dev was 6 years ago. How old is Dev now?
- 35.Meera’s father is five times as old as Meera. The sum of their ages is 48 years. How old is the father?
- 36.Rohan is 5 years older than Ananya. In 6 years, the sum of their ages will be 55. How old is Ananya now?
- 37.Meera’s father is five times as old as Meera. The sum of their ages is 30 years. How old is Meera?
- 38.Ananya is 7 years older than Saanvi. In 9 years, the sum of their ages will be 37. How old is Saanvi now?
- 39.Manav is 9 years older than Ananya. In 6 years, the sum of their ages will be 65. How old is Ananya now?
- 40.5 years ago, Nisha’s mother was twice as old as Nisha. The mother is 21 years old now. How old is Nisha now?
Answer key
- 12
- 22
- 6
- 23
- 14
- 19
- 39
- 24
- 22
- 10
- 8
- 30
- 19
- 40
- 8
- 10
- 32
- 13
- 15
- 15
- 16
- 11
- 9
- 12
- 24
- 12
- 44
- 15
- 26
- 9
- 26
- 28
- 15
- 23
- 40
- 19
- 5
- 6
- 22
- 13
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