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.Karan’s father is twice as old as Karan. The sum of their ages is 21 years. How old is Karan?
- 2.In 13 years, Diya will be twice as old as Diya was 5 years ago. How old is Diya now?
- 3.10 years ago, Diya’s mother was four times as old as Diya. The mother is 22 years old now. How old is Diya now?
- 4.Ishaan’s father is four times as old as Ishaan. The sum of their ages is 35 years. How old is Ishaan?
- 5.4 years ago, Vivaan’s mother was three times as old as Vivaan. The mother is 19 years old now. How old is Vivaan now?
- 6.Farhan’s father is five times as old as Farhan. The sum of their ages is 54 years. How old is the father?
- 7.7 years ago, Ananya’s mother was twice as old as Ananya. The mother is 15 years old now. How old is Ananya now?
- 8.7 years ago, Sneha’s mother was three times as old as Sneha. The mother is 34 years old now. How old is Sneha now?
- 9.10 years ago, Saanvi’s mother was twice as old as Saanvi. The mother is 30 years old now. How old is Saanvi now?
- 10.Dev’s father is five times as old as Dev. The sum of their ages is 42 years. How old is the father?
- 11.Meera is 5 years older than Dev. In 10 years, the sum of their ages will be 47. How old is Dev now?
- 12.3 years ago, Aditya’s mother was three times as old as Aditya. The mother is 36 years old now. How old is Aditya now?
- 13.Diya is 2 years older than Rohan. In 2 years, the sum of their ages will be 46. How old is Rohan now?
- 14.In 12 years, Kavya will be twice as old as Kavya was 2 years ago. How old is Kavya now?
- 15.5 years ago, Tara’s mother was three times as old as Tara. The mother is 14 years old now. How old is Tara now?
- 16.Priya is 4 years older than Kabir. In 6 years, the sum of their ages will be 36. How old is Kabir now?
- 17.10 years ago, Manav’s mother was four times as old as Manav. The mother is 22 years old now. How old is Manav now?
- 18.In 29 years, Pooja will be twice as old as Pooja was 2 years ago. How old is Pooja now?
- 19.Arjun’s father is four times as old as Arjun. The sum of their ages is 65 years. How old is Arjun?
- 20.Isha’s father is twice as old as Isha. The sum of their ages is 24 years. How old is the father?
- 21.In 10 years, Karan will be three times as old as Karan was 2 years ago. How old is Karan now?
- 22.Manav’s father is twice as old as Manav. The sum of their ages is 27 years. How old is Manav?
- 23.9 years ago, Farhan’s mother was twice as old as Farhan. The mother is 19 years old now. How old is Farhan now?
- 24.7 years ago, Tara’s mother was twice as old as Tara. The mother is 25 years old now. How old is Tara now?
- 25.In 6 years, Sneha will be twice as old as Sneha was 5 years ago. How old is Sneha now?
- 26.Meera’s father is five times as old as Meera. The sum of their ages is 66 years. How old is Meera?
- 27.3 years ago, Kavya’s mother was three times as old as Kavya. The mother is 15 years old now. How old is Kavya now?
- 28.Dev is 4 years older than Sneha. In 2 years, the sum of their ages will be 20. How old is Sneha now?
- 29.Zoya is 8 years older than Kavya. In 4 years, the sum of their ages will be 58. How old is Kavya now?
- 30.Diya’s father is twice as old as Diya. The sum of their ages is 42 years. How old is Diya?
- 31.6 years ago, Arjun’s mother was four times as old as Arjun. The mother is 54 years old now. How old is Arjun now?
- 32.Aarav’s father is twice as old as Aarav. The sum of their ages is 42 years. How old is the father?
- 33.Dev is 3 years older than Zoya. In 3 years, the sum of their ages will be 59. How old is Zoya now?
- 34.In 18 years, Vivaan will be three times as old as Vivaan was 6 years ago. How old is Vivaan now?
- 35.Sneha’s father is four times as old as Sneha. The sum of their ages is 70 years. How old is Sneha?
- 36.10 years ago, Arjun’s mother was four times as old as Arjun. The mother is 22 years old now. How old is Arjun now?
- 37.In 26 years, Meera will be twice as old as Meera was 2 years ago. How old is Meera now?
- 38.Aditya’s father is three times as old as Aditya. The sum of their ages is 36 years. How old is the father?
- 39.Nisha’s father is four times as old as Nisha. The sum of their ages is 65 years. How old is the father?
- 40.In 27 years, Tara will be three times as old as Tara was 5 years ago. How old is Tara now?
Answer key
- 7
- 23
- 13
- 7
- 9
- 45
- 11
- 16
- 20
- 35
- 11
- 14
- 20
- 16
- 8
- 10
- 13
- 33
- 13
- 16
- 8
- 9
- 14
- 16
- 16
- 11
- 7
- 6
- 21
- 14
- 18
- 28
- 25
- 18
- 14
- 13
- 30
- 27
- 52
- 21
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