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.Diya’s father is four times as old as Diya. The sum of their ages is 30 years. How old is the father?
- 2.Nisha is 5 years older than Farhan. In 6 years, the sum of their ages will be 55. How old is Farhan now?
- 3.In 18 years, Zoya will be twice as old as Zoya was 2 years ago. How old is Zoya now?
- 4.10 years ago, Zoya’s mother was three times as old as Zoya. The mother is 28 years old now. How old is Zoya now?
- 5.Vivaan’s father is five times as old as Vivaan. The sum of their ages is 60 years. How old is Vivaan?
- 6.In 4 years, Diya will be three times as old as Diya was 6 years ago. How old is Diya now?
- 7.7 years ago, Priya’s mother was twice as old as Priya. The mother is 13 years old now. How old is Priya now?
- 8.In 20 years, Pooja will be three times as old as Pooja was 4 years ago. How old is Pooja now?
- 9.Meera is 2 years older than Aarav. In 6 years, the sum of their ages will be 32. How old is Aarav now?
- 10.2 years ago, Vivaan’s mother was twice as old as Vivaan. The mother is 26 years old now. How old is Vivaan now?
- 11.Saanvi’s father is five times as old as Saanvi. The sum of their ages is 48 years. How old is the father?
- 12.Rahul’s father is four times as old as Rahul. The sum of their ages is 25 years. How old is the father?
- 13.In 27 years, Pooja will be twice as old as Pooja was 5 years ago. How old is Pooja now?
- 14.In 20 years, Karan will be twice as old as Karan was 2 years ago. How old is Karan now?
- 15.3 years ago, Ananya’s mother was four times as old as Ananya. The mother is 15 years old now. How old is Ananya now?
- 16.Dev is 10 years older than Zoya. In 7 years, the sum of their ages will be 58. How old is Zoya now?
- 17.Tara’s father is five times as old as Tara. The sum of their ages is 36 years. How old is the father?
- 18.Farhan’s father is four times as old as Farhan. The sum of their ages is 55 years. How old is the father?
- 19.Tara’s father is three times as old as Tara. The sum of their ages is 44 years. How old is Tara?
- 20.Rohan’s father is four times as old as Rohan. The sum of their ages is 30 years. How old is Rohan?
- 21.In 4 years, Ishaan will be three times as old as Ishaan was 4 years ago. How old is Ishaan now?
- 22.Saanvi is 4 years older than Diya. In 5 years, the sum of their ages will be 52. How old is Diya now?
- 23.3 years ago, Rohan’s mother was four times as old as Rohan. The mother is 43 years old now. How old is Rohan now?
- 24.2 years ago, Dev’s mother was three times as old as Dev. The mother is 20 years old now. How old is Dev now?
- 25.In 11 years, Kavya will be twice as old as Kavya was 3 years ago. How old is Kavya now?
- 26.Karan’s father is twice as old as Karan. The sum of their ages is 45 years. How old is Karan?
- 27.Diya’s father is four times as old as Diya. The sum of their ages is 40 years. How old is Diya?
- 28.Meera is 3 years older than Arjun. In 2 years, the sum of their ages will be 59. How old is Arjun now?
- 29.Arjun’s father is four times as old as Arjun. The sum of their ages is 60 years. How old is Arjun?
- 30.In 5 years, Diya will be three times as old as Diya was 5 years ago. How old is Diya now?
- 31.Kavya’s father is three times as old as Kavya. The sum of their ages is 56 years. How old is Kavya?
- 32.6 years ago, Saanvi’s mother was four times as old as Saanvi. The mother is 54 years old now. How old is Saanvi now?
- 33.Ananya is 10 years older than Nisha. In 9 years, the sum of their ages will be 80. How old is Nisha now?
- 34.Rohan is 3 years older than Meera. In 3 years, the sum of their ages will be 19. How old is Meera now?
- 35.3 years ago, Karan’s mother was three times as old as Karan. The mother is 15 years old now. How old is Karan now?
- 36.In 12 years, Diya will be twice as old as Diya was 3 years ago. How old is Diya now?
- 37.6 years ago, Dev’s mother was twice as old as Dev. The mother is 16 years old now. How old is Dev now?
- 38.6 years ago, Saanvi’s mother was twice as old as Saanvi. The mother is 24 years old now. How old is Saanvi now?
- 39.3 years ago, Saanvi’s mother was four times as old as Saanvi. The mother is 27 years old now. How old is Saanvi now?
- 40.Pooja is 9 years older than Priya. In 8 years, the sum of their ages will be 45. How old is Priya now?
Answer key
- 24
- 19
- 22
- 16
- 10
- 11
- 10
- 16
- 9
- 14
- 40
- 20
- 37
- 24
- 6
- 17
- 30
- 44
- 11
- 6
- 8
- 19
- 13
- 8
- 17
- 15
- 8
- 26
- 12
- 10
- 14
- 18
- 26
- 5
- 7
- 18
- 11
- 15
- 9
- 10
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