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.Nisha’s father is four times as old as Nisha. The sum of their ages is 55 years. How old is the father?
- 2.3 years ago, Vivaan’s mother was three times as old as Vivaan. The mother is 27 years old now. How old is Vivaan now?
- 3.Kavya is 10 years older than Arjun. In 5 years, the sum of their ages will be 42. How old is Arjun now?
- 4.Aditya is 6 years older than Saanvi. In 7 years, the sum of their ages will be 36. How old is Saanvi now?
- 5.In 12 years, Rohan will be twice as old as Rohan was 2 years ago. How old is Rohan now?
- 6.6 years ago, Ishaan’s mother was twice as old as Ishaan. The mother is 22 years old now. How old is Ishaan now?
- 7.In 3 years, Ananya will be twice as old as Ananya was 6 years ago. How old is Ananya now?
- 8.Arjun is 2 years older than Diya. In 2 years, the sum of their ages will be 64. How old is Diya now?
- 9.Karan is 3 years older than Dev. In 5 years, the sum of their ages will be 49. How old is Dev now?
- 10.In 26 years, Isha will be twice as old as Isha was 5 years ago. How old is Isha now?
- 11.Kabir is 8 years older than Rahul. In 5 years, the sum of their ages will be 40. How old is Rahul now?
- 12.Priya is 5 years older than Diya. In 7 years, the sum of their ages will be 29. How old is Diya now?
- 13.Sneha’s father is four times as old as Sneha. The sum of their ages is 40 years. How old is Sneha?
- 14.Isha is 4 years older than Ananya. In 7 years, the sum of their ages will be 62. How old is Ananya now?
- 15.2 years ago, Aarav’s mother was three times as old as Aarav. The mother is 20 years old now. How old is Aarav now?
- 16.In 20 years, Saanvi will be twice as old as Saanvi was 6 years ago. How old is Saanvi now?
- 17.In 17 years, Pooja will be twice as old as Pooja was 5 years ago. How old is Pooja now?
- 18.7 years ago, Priya’s mother was three times as old as Priya. The mother is 43 years old now. How old is Priya now?
- 19.In 30 years, Kavya will be three times as old as Kavya was 2 years ago. How old is Kavya now?
- 20.Pooja’s father is five times as old as Pooja. The sum of their ages is 36 years. How old is Pooja?
- 21.Vivaan’s father is twice as old as Vivaan. The sum of their ages is 27 years. How old is Vivaan?
- 22.In 10 years, Manav will be three times as old as Manav was 2 years ago. How old is Manav now?
- 23.Farhan’s father is four times as old as Farhan. The sum of their ages is 70 years. How old is Farhan?
- 24.4 years ago, Rohan’s mother was four times as old as Rohan. The mother is 40 years old now. How old is Rohan now?
- 25.Saanvi’s father is three times as old as Saanvi. The sum of their ages is 40 years. How old is Saanvi?
- 26.In 4 years, Diya will be three times as old as Diya was 4 years ago. How old is Diya now?
- 27.Ishaan is 6 years older than Sneha. In 2 years, the sum of their ages will be 30. How old is Sneha now?
- 28.In 14 years, Ishaan will be three times as old as Ishaan was 2 years ago. How old is Ishaan now?
- 29.4 years ago, Rohan’s mother was twice as old as Rohan. The mother is 24 years old now. How old is Rohan now?
- 30.In 3 years, Farhan will be twice as old as Farhan was 6 years ago. How old is Farhan now?
- 31.In 15 years, Ishaan will be three times as old as Ishaan was 3 years ago. How old is Ishaan now?
- 32.Kavya is 3 years older than Ishaan. In 8 years, the sum of their ages will be 67. How old is Ishaan now?
- 33.In 2 years, Vivaan will be twice as old as Vivaan was 4 years ago. How old is Vivaan now?
- 34.Meera’s father is five times as old as Meera. The sum of their ages is 78 years. How old is Meera?
- 35.Tara’s father is four times as old as Tara. The sum of their ages is 40 years. How old is the father?
- 36.2 years ago, Pooja’s mother was three times as old as Pooja. The mother is 23 years old now. How old is Pooja now?
- 37.Rohan’s father is twice as old as Rohan. The sum of their ages is 42 years. How old is the father?
- 38.7 years ago, Ishaan’s mother was three times as old as Ishaan. The mother is 28 years old now. How old is Ishaan now?
- 39.2 years ago, Ananya’s mother was four times as old as Ananya. The mother is 26 years old now. How old is Ananya now?
- 40.Pooja’s father is twice as old as Pooja. The sum of their ages is 27 years. How old is Pooja?
Answer key
- 44
- 11
- 11
- 8
- 16
- 14
- 15
- 29
- 18
- 36
- 11
- 5
- 8
- 22
- 8
- 32
- 27
- 19
- 18
- 6
- 9
- 8
- 14
- 13
- 10
- 8
- 10
- 10
- 14
- 15
- 12
- 24
- 10
- 13
- 32
- 9
- 28
- 14
- 8
- 9
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