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 30 years. How old is the father?
- 2.In 6 years, Aarav will be twice as old as Aarav was 2 years ago. How old is Aarav now?
- 3.3 years ago, Sneha’s mother was twice as old as Sneha. The mother is 11 years old now. How old is Sneha now?
- 4.Vivaan’s father is twice as old as Vivaan. The sum of their ages is 21 years. How old is the father?
- 5.Isha’s father is four times as old as Isha. The sum of their ages is 70 years. How old is the father?
- 6.In 10 years, Zoya will be twice as old as Zoya was 4 years ago. How old is Zoya now?
- 7.In 25 years, Meera will be twice as old as Meera was 2 years ago. How old is Meera now?
- 8.Diya’s father is five times as old as Diya. The sum of their ages is 60 years. How old is Diya?
- 9.Ananya’s father is three times as old as Ananya. The sum of their ages is 44 years. How old is the father?
- 10.Dev is 4 years older than Arjun. In 6 years, the sum of their ages will be 74. How old is Arjun now?
- 11.Saanvi is 9 years older than Vivaan. In 5 years, the sum of their ages will be 53. How old is Vivaan now?
- 12.Nisha is 4 years older than Kavya. In 8 years, the sum of their ages will be 36. How old is Kavya now?
- 13.In 1 years, Aarav will be twice as old as Aarav was 4 years ago. How old is Aarav now?
- 14.In 10 years, Arjun will be twice as old as Arjun was 4 years ago. How old is Arjun now?
- 15.3 years ago, Zoya’s mother was four times as old as Zoya. The mother is 15 years old now. How old is Zoya now?
- 16.In 17 years, Farhan will be twice as old as Farhan was 3 years ago. How old is Farhan now?
- 17.5 years ago, Zoya’s mother was four times as old as Zoya. The mother is 21 years old now. How old is Zoya now?
- 18.Arjun is 2 years older than Karan. In 9 years, the sum of their ages will be 70. How old is Karan now?
- 19.In 9 years, Arjun will be three times as old as Arjun was 5 years ago. How old is Arjun now?
- 20.Dev’s father is twice as old as Dev. The sum of their ages is 30 years. How old is Dev?
- 21.2 years ago, Arjun’s mother was four times as old as Arjun. The mother is 22 years old now. How old is Arjun now?
- 22.In 21 years, Ananya will be three times as old as Ananya was 3 years ago. How old is Ananya now?
- 23.Ishaan’s father is three times as old as Ishaan. The sum of their ages is 24 years. How old is Ishaan?
- 24.3 years ago, Aditya’s mother was four times as old as Aditya. The mother is 31 years old now. How old is Aditya now?
- 25.Nisha’s father is twice as old as Nisha. The sum of their ages is 18 years. How old is Nisha?
- 26.In 26 years, Ananya will be twice as old as Ananya was 2 years ago. How old is Ananya now?
- 27.Kavya’s father is three times as old as Kavya. The sum of their ages is 28 years. How old is the father?
- 28.Diya is 8 years older than Nisha. In 4 years, the sum of their ages will be 50. How old is Nisha now?
- 29.9 years ago, Kabir’s mother was four times as old as Kabir. The mother is 45 years old now. How old is Kabir now?
- 30.In 17 years, Kabir will be twice as old as Kabir was 2 years ago. How old is Kabir now?
- 31.In 4 years, Farhan will be twice as old as Farhan was 5 years ago. How old is Farhan now?
- 32.In 9 years, Vivaan will be twice as old as Vivaan was 6 years ago. How old is Vivaan now?
- 33.In 15 years, Arjun will be twice as old as Arjun was 6 years ago. How old is Arjun now?
- 34.Kavya is 6 years older than Farhan. In 4 years, the sum of their ages will be 40. How old is Farhan now?
- 35.3 years ago, Kavya’s mother was three times as old as Kavya. The mother is 18 years old now. How old is Kavya now?
- 36.In 19 years, Ishaan will be twice as old as Ishaan was 2 years ago. How old is Ishaan now?
- 37.Kabir’s father is twice as old as Kabir. The sum of their ages is 24 years. How old is Kabir?
- 38.Ananya’s father is four times as old as Ananya. The sum of their ages is 55 years. How old is Ananya?
- 39.9 years ago, Karan’s mother was four times as old as Karan. The mother is 41 years old now. How old is Karan now?
- 40.Ishaan’s father is twice as old as Ishaan. The sum of their ages is 24 years. How old is Ishaan?
Answer key
- 20
- 10
- 7
- 14
- 56
- 18
- 29
- 10
- 33
- 29
- 17
- 8
- 9
- 18
- 6
- 23
- 9
- 25
- 12
- 10
- 7
- 15
- 6
- 10
- 6
- 30
- 21
- 17
- 18
- 21
- 14
- 21
- 27
- 13
- 8
- 23
- 8
- 11
- 17
- 8
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