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.Vivaan’s father is four times as old as Vivaan. The sum of their ages is 55 years. How old is Vivaan?
- 2.Pooja is 3 years older than Zoya. In 2 years, the sum of their ages will be 43. How old is Zoya now?
- 3.Aarav is 4 years older than Diya. In 8 years, the sum of their ages will be 36. How old is Diya now?
- 4.Arjun’s father is four times as old as Arjun. The sum of their ages is 30 years. How old is Arjun?
- 5.10 years ago, Arjun’s mother was three times as old as Arjun. The mother is 28 years old now. How old is Arjun now?
- 6.Rohan is 9 years older than Kabir. In 3 years, the sum of their ages will be 67. How old is Kabir now?
- 7.2 years ago, Arjun’s mother was twice as old as Arjun. The mother is 12 years old now. How old is Arjun now?
- 8.In 27 years, Farhan will be three times as old as Farhan was 3 years ago. How old is Farhan now?
- 9.Dev’s father is five times as old as Dev. The sum of their ages is 54 years. How old is the father?
- 10.Priya’s father is five times as old as Priya. The sum of their ages is 42 years. How old is the father?
- 11.Karan is 6 years older than Nisha. In 6 years, the sum of their ages will be 66. How old is Nisha now?
- 12.7 years ago, Manav’s mother was twice as old as Manav. The mother is 15 years old now. How old is Manav now?
- 13.9 years ago, Rohan’s mother was four times as old as Rohan. The mother is 21 years old now. How old is Rohan now?
- 14.9 years ago, Vivaan’s mother was four times as old as Vivaan. The mother is 21 years old now. How old is Vivaan now?
- 15.2 years ago, Aarav’s mother was twice as old as Aarav. The mother is 16 years old now. How old is Aarav now?
- 16.9 years ago, Aditya’s mother was three times as old as Aditya. The mother is 39 years old now. How old is Aditya now?
- 17.Isha’s father is four times as old as Isha. The sum of their ages is 70 years. How old is Isha?
- 18.Ananya’s father is twice as old as Ananya. The sum of their ages is 36 years. How old is Ananya?
- 19.Tara is 5 years older than Kavya. In 7 years, the sum of their ages will be 55. How old is Kavya now?
- 20.Pooja’s father is twice as old as Pooja. The sum of their ages is 36 years. How old is the father?
- 21.Pooja is 4 years older than Nisha. In 8 years, the sum of their ages will be 30. How old is Nisha now?
- 22.2 years ago, Ananya’s mother was four times as old as Ananya. The mother is 22 years old now. How old is Ananya now?
- 23.In 7 years, Aarav will be three times as old as Aarav was 5 years ago. How old is Aarav now?
- 24.5 years ago, Manav’s mother was twice as old as Manav. The mother is 13 years old now. How old is Manav now?
- 25.Dev’s father is four times as old as Dev. The sum of their ages is 40 years. How old is the father?
- 26.In 11 years, Karan will be twice as old as Karan was 2 years ago. How old is Karan now?
- 27.2 years ago, Sneha’s mother was twice as old as Sneha. The mother is 20 years old now. How old is Sneha now?
- 28.In 18 years, Farhan will be twice as old as Farhan was 4 years ago. How old is Farhan now?
- 29.Vivaan’s father is four times as old as Vivaan. The sum of their ages is 50 years. How old is Vivaan?
- 30.Meera is 9 years older than Sneha. In 7 years, the sum of their ages will be 77. How old is Sneha now?
- 31.In 12 years, Ananya will be three times as old as Ananya was 4 years ago. How old is Ananya now?
- 32.5 years ago, Aarav’s mother was twice as old as Aarav. The mother is 17 years old now. How old is Aarav now?
- 33.9 years ago, Karan’s mother was three times as old as Karan. The mother is 18 years old now. How old is Karan now?
- 34.10 years ago, Meera’s mother was twice as old as Meera. The mother is 18 years old now. How old is Meera now?
- 35.10 years ago, Vivaan’s mother was four times as old as Vivaan. The mother is 34 years old now. How old is Vivaan now?
- 36.In 3 years, Zoya will be twice as old as Zoya was 5 years ago. How old is Zoya now?
- 37.Zoya is 7 years older than Nisha. In 9 years, the sum of their ages will be 53. How old is Nisha now?
- 38.In 24 years, Saanvi will be twice as old as Saanvi was 4 years ago. How old is Saanvi now?
- 39.Arjun’s father is twice as old as Arjun. The sum of their ages is 21 years. How old is Arjun?
- 40.Kabir is 8 years older than Ananya. In 3 years, the sum of their ages will be 30. How old is Ananya now?
Answer key
- 11
- 18
- 8
- 6
- 16
- 26
- 7
- 18
- 45
- 35
- 24
- 11
- 12
- 12
- 9
- 19
- 14
- 12
- 18
- 24
- 5
- 7
- 11
- 9
- 32
- 15
- 11
- 26
- 10
- 27
- 12
- 11
- 12
- 14
- 16
- 13
- 14
- 32
- 7
- 8
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