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 five times as old as Aarav. The sum of their ages is 30 years. How old is the father?
- 2.3 years ago, Priya’s mother was twice as old as Priya. The mother is 17 years old now. How old is Priya now?
- 3.Farhan’s father is four times as old as Farhan. The sum of their ages is 35 years. How old is the father?
- 4.In 6 years, Arjun will be twice as old as Arjun was 2 years ago. How old is Arjun now?
- 5.Aditya is 9 years older than Rahul. In 5 years, the sum of their ages will be 31. How old is Rahul now?
- 6.Isha is 5 years older than Sneha. In 9 years, the sum of their ages will be 45. How old is Sneha now?
- 7.In 30 years, Kavya will be twice as old as Kavya was 4 years ago. How old is Kavya now?
- 8.In 2 years, Sneha will be twice as old as Sneha was 5 years ago. How old is Sneha now?
- 9.9 years ago, Farhan’s mother was twice as old as Farhan. The mother is 25 years old now. How old is Farhan now?
- 10.Aditya is 10 years older than Diya. In 6 years, the sum of their ages will be 50. How old is Diya now?
- 11.In 8 years, Sneha will be three times as old as Sneha was 4 years ago. How old is Sneha now?
- 12.Tara is 2 years older than Diya. In 2 years, the sum of their ages will be 18. How old is Diya now?
- 13.9 years ago, Priya’s mother was three times as old as Priya. The mother is 45 years old now. How old is Priya now?
- 14.Ishaan’s father is twice as old as Ishaan. The sum of their ages is 30 years. How old is the father?
- 15.Saanvi’s father is twice as old as Saanvi. The sum of their ages is 15 years. How old is the father?
- 16.7 years ago, Ishaan’s mother was twice as old as Ishaan. The mother is 21 years old now. How old is Ishaan now?
- 17.In 26 years, Ishaan will be three times as old as Ishaan was 6 years ago. How old is Ishaan now?
- 18.In 22 years, Priya will be three times as old as Priya was 4 years ago. How old is Priya now?
- 19.4 years ago, Priya’s mother was twice as old as Priya. The mother is 10 years old now. How old is Priya now?
- 20.Farhan is 5 years older than Isha. In 2 years, the sum of their ages will be 29. How old is Isha now?
- 21.2 years ago, Rohan’s mother was three times as old as Rohan. The mother is 11 years old now. How old is Rohan now?
- 22.Priya is 2 years older than Arjun. In 9 years, the sum of their ages will be 68. How old is Arjun now?
- 23.Farhan is 5 years older than Aarav. In 7 years, the sum of their ages will be 67. How old is Aarav now?
- 24.Farhan’s father is twice as old as Farhan. The sum of their ages is 15 years. How old is Farhan?
- 25.Sneha’s father is four times as old as Sneha. The sum of their ages is 25 years. How old is the father?
- 26.2 years ago, Rahul’s mother was three times as old as Rahul. The mother is 14 years old now. How old is Rahul now?
- 27.Nisha is 6 years older than Diya. In 8 years, the sum of their ages will be 46. How old is Diya now?
- 28.Farhan is 9 years older than Meera. In 8 years, the sum of their ages will be 65. How old is Meera now?
- 29.Kabir’s father is twice as old as Kabir. The sum of their ages is 33 years. How old is the father?
- 30.Dev’s father is three times as old as Dev. The sum of their ages is 48 years. How old is Dev?
- 31.In 5 years, Isha will be twice as old as Isha was 4 years ago. How old is Isha now?
- 32.In 4 years, Ananya will be twice as old as Ananya was 5 years ago. How old is Ananya now?
- 33.In 16 years, Rahul will be three times as old as Rahul was 2 years ago. How old is Rahul now?
- 34.Ananya’s father is three times as old as Ananya. The sum of their ages is 52 years. How old is Ananya?
- 35.In 17 years, Meera will be twice as old as Meera was 2 years ago. How old is Meera now?
- 36.9 years ago, Vivaan’s mother was three times as old as Vivaan. The mother is 18 years old now. How old is Vivaan now?
- 37.Ishaan’s father is five times as old as Ishaan. The sum of their ages is 30 years. How old is Ishaan?
- 38.7 years ago, Pooja’s mother was four times as old as Pooja. The mother is 55 years old now. How old is Pooja now?
- 39.6 years ago, Saanvi’s mother was twice as old as Saanvi. The mother is 12 years old now. How old is Saanvi now?
- 40.In 18 years, Karan will be three times as old as Karan was 6 years ago. How old is Karan now?
Answer key
- 25
- 10
- 28
- 10
- 6
- 11
- 38
- 12
- 17
- 14
- 10
- 6
- 21
- 20
- 10
- 14
- 22
- 17
- 7
- 10
- 5
- 24
- 24
- 5
- 20
- 6
- 12
- 20
- 22
- 12
- 13
- 14
- 11
- 13
- 21
- 12
- 5
- 19
- 9
- 18
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