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.Saanvi’s father is four times as old as Saanvi. The sum of their ages is 50 years. How old is Saanvi?
- 2.Dev’s father is three times as old as Dev. The sum of their ages is 36 years. How old is the father?
- 3.2 years ago, Arjun’s mother was twice as old as Arjun. The mother is 24 years old now. How old is Arjun now?
- 4.4 years ago, Saanvi’s mother was four times as old as Saanvi. The mother is 16 years old now. How old is Saanvi now?
- 5.Priya’s father is five times as old as Priya. The sum of their ages is 84 years. How old is the father?
- 6.Kavya’s father is four times as old as Kavya. The sum of their ages is 70 years. How old is the father?
- 7.Rahul’s father is three times as old as Rahul. The sum of their ages is 24 years. How old is Rahul?
- 8.8 years ago, Ananya’s mother was three times as old as Ananya. The mother is 23 years old now. How old is Ananya now?
- 9.4 years ago, Rohan’s mother was twice as old as Rohan. The mother is 12 years old now. How old is Rohan now?
- 10.6 years ago, Rohan’s mother was four times as old as Rohan. The mother is 50 years old now. How old is Rohan now?
- 11.2 years ago, Vivaan’s mother was twice as old as Vivaan. The mother is 8 years old now. How old is Vivaan now?
- 12.In 10 years, Ananya will be twice as old as Ananya was 6 years ago. How old is Ananya now?
- 13.9 years ago, Meera’s mother was three times as old as Meera. The mother is 33 years old now. How old is Meera now?
- 14.4 years ago, Kabir’s mother was twice as old as Kabir. The mother is 18 years old now. How old is Kabir now?
- 15.Ananya is 8 years older than Vivaan. In 3 years, the sum of their ages will be 58. How old is Vivaan now?
- 16.Diya is 3 years older than Aarav. In 3 years, the sum of their ages will be 45. How old is Aarav now?
- 17.Isha’s father is three times as old as Isha. The sum of their ages is 52 years. How old is the father?
- 18.In 10 years, Zoya will be twice as old as Zoya was 2 years ago. How old is Zoya now?
- 19.Vivaan is 9 years older than Aarav. In 5 years, the sum of their ages will be 57. How old is Aarav now?
- 20.In 4 years, Rohan will be twice as old as Rohan was 2 years ago. How old is Rohan now?
- 21.Arjun’s father is twice as old as Arjun. The sum of their ages is 21 years. How old is Arjun?
- 22.7 years ago, Kabir’s mother was twice as old as Kabir. The mother is 21 years old now. How old is Kabir now?
- 23.Rohan is 10 years older than Isha. In 9 years, the sum of their ages will be 76. How old is Isha now?
- 24.Dev’s father is five times as old as Dev. The sum of their ages is 42 years. How old is Dev?
- 25.Isha’s father is five times as old as Isha. The sum of their ages is 72 years. How old is Isha?
- 26.In 5 years, Aarav will be twice as old as Aarav was 4 years ago. How old is Aarav now?
- 27.6 years ago, Aditya’s mother was three times as old as Aditya. The mother is 36 years old now. How old is Aditya now?
- 28.In 15 years, Saanvi will be twice as old as Saanvi was 3 years ago. How old is Saanvi now?
- 29.Ananya is 4 years older than Diya. In 8 years, the sum of their ages will be 56. How old is Diya now?
- 30.5 years ago, Karan’s mother was four times as old as Karan. The mother is 17 years old now. How old is Karan now?
- 31.In 30 years, Diya will be three times as old as Diya was 6 years ago. How old is Diya now?
- 32.Meera’s father is three times as old as Meera. The sum of their ages is 28 years. How old is the father?
- 33.3 years ago, Kavya’s mother was four times as old as Kavya. The mother is 23 years old now. How old is Kavya now?
- 34.8 years ago, Rahul’s mother was three times as old as Rahul. The mother is 23 years old now. How old is Rahul now?
- 35.Karan’s father is twice as old as Karan. The sum of their ages is 45 years. How old is the father?
- 36.In 12 years, Rohan will be twice as old as Rohan was 3 years ago. How old is Rohan now?
- 37.Vivaan is 3 years older than Dev. In 10 years, the sum of their ages will be 71. How old is Dev now?
- 38.In 20 years, Diya will be three times as old as Diya was 6 years ago. How old is Diya now?
- 39.Nisha is 8 years older than Karan. In 4 years, the sum of their ages will be 32. How old is Karan now?
- 40.Farhan’s father is twice as old as Farhan. The sum of their ages is 45 years. How old is Farhan?
Answer key
- 10
- 27
- 13
- 7
- 70
- 56
- 6
- 13
- 8
- 17
- 5
- 22
- 17
- 11
- 22
- 18
- 39
- 14
- 19
- 8
- 7
- 14
- 24
- 7
- 12
- 13
- 16
- 21
- 18
- 8
- 24
- 21
- 8
- 13
- 30
- 18
- 24
- 19
- 8
- 15
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