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.Aditya’s father is three times as old as Aditya. The sum of their ages is 56 years. How old is Aditya?
- 2.Aditya’s father is five times as old as Aditya. The sum of their ages is 54 years. How old is Aditya?
- 3.8 years ago, Priya’s mother was three times as old as Priya. The mother is 17 years old now. How old is Priya now?
- 4.Sneha is 8 years older than Kabir. In 4 years, the sum of their ages will be 60. How old is Kabir now?
- 5.8 years ago, Rahul’s mother was twice as old as Rahul. The mother is 14 years old now. How old is Rahul now?
- 6.3 years ago, Vivaan’s mother was four times as old as Vivaan. The mother is 31 years old now. How old is Vivaan now?
- 7.Vivaan’s father is three times as old as Vivaan. The sum of their ages is 48 years. How old is the father?
- 8.In 23 years, Arjun will be twice as old as Arjun was 3 years ago. How old is Arjun now?
- 9.2 years ago, Aditya’s mother was four times as old as Aditya. The mother is 46 years old now. How old is Aditya now?
- 10.Ishaan’s father is four times as old as Ishaan. The sum of their ages is 55 years. How old is Ishaan?
- 11.In 28 years, Aarav will be twice as old as Aarav was 2 years ago. How old is Aarav now?
- 12.Kabir is 3 years older than Meera. In 6 years, the sum of their ages will be 27. How old is Meera now?
- 13.Ananya is 3 years older than Tara. In 3 years, the sum of their ages will be 31. How old is Tara now?
- 14.Vivaan is 3 years older than Priya. In 9 years, the sum of their ages will be 75. How old is Priya now?
- 15.Aarav is 3 years older than Zoya. In 6 years, the sum of their ages will be 71. How old is Zoya now?
- 16.In 14 years, Farhan will be twice as old as Farhan was 4 years ago. How old is Farhan now?
- 17.Diya’s father is four times as old as Diya. The sum of their ages is 60 years. How old is the father?
- 18.5 years ago, Ishaan’s mother was twice as old as Ishaan. The mother is 15 years old now. How old is Ishaan now?
- 19.In 13 years, Aditya will be twice as old as Aditya was 3 years ago. How old is Aditya now?
- 20.5 years ago, Diya’s mother was four times as old as Diya. The mother is 29 years old now. How old is Diya now?
- 21.Priya is 10 years older than Ishaan. In 4 years, the sum of their ages will be 70. How old is Ishaan now?
- 22.3 years ago, Sneha’s mother was twice as old as Sneha. The mother is 13 years old now. How old is Sneha now?
- 23.In 4 years, Zoya will be twice as old as Zoya was 2 years ago. How old is Zoya now?
- 24.Diya is 9 years older than Arjun. In 9 years, the sum of their ages will be 73. How old is Arjun now?
- 25.Ishaan is 10 years older than Isha. In 10 years, the sum of their ages will be 44. How old is Isha now?
- 26.2 years ago, Nisha’s mother was twice as old as Nisha. The mother is 16 years old now. How old is Nisha now?
- 27.In 3 years, Ishaan will be twice as old as Ishaan was 6 years ago. How old is Ishaan now?
- 28.Zoya’s father is four times as old as Zoya. The sum of their ages is 40 years. How old is the father?
- 29.Diya is 3 years older than Arjun. In 8 years, the sum of their ages will be 71. How old is Arjun now?
- 30.In 22 years, Nisha will be twice as old as Nisha was 2 years ago. How old is Nisha now?
- 31.In 28 years, Priya will be three times as old as Priya was 6 years ago. How old is Priya now?
- 32.5 years ago, Ananya’s mother was twice as old as Ananya. The mother is 23 years old now. How old is Ananya now?
- 33.5 years ago, Tara’s mother was twice as old as Tara. The mother is 13 years old now. How old is Tara now?
- 34.In 28 years, Arjun will be three times as old as Arjun was 2 years ago. How old is Arjun now?
- 35.9 years ago, Priya’s mother was three times as old as Priya. The mother is 42 years old now. How old is Priya now?
- 36.Kavya’s father is three times as old as Kavya. The sum of their ages is 56 years. How old is the father?
- 37.Karan is 2 years older than Meera. In 2 years, the sum of their ages will be 44. How old is Meera now?
- 38.8 years ago, Aarav’s mother was three times as old as Aarav. The mother is 41 years old now. How old is Aarav now?
- 39.5 years ago, Rohan’s mother was four times as old as Rohan. The mother is 49 years old now. How old is Rohan now?
- 40.Arjun’s father is four times as old as Arjun. The sum of their ages is 40 years. How old is Arjun?
Answer key
- 14
- 9
- 11
- 22
- 11
- 10
- 36
- 29
- 13
- 11
- 32
- 6
- 11
- 27
- 28
- 22
- 48
- 10
- 19
- 11
- 26
- 8
- 8
- 23
- 7
- 9
- 15
- 32
- 26
- 26
- 23
- 14
- 9
- 17
- 20
- 42
- 19
- 19
- 16
- 8
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