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.Ananya’s father is three times as old as Ananya. The sum of their ages is 60 years. How old is Ananya?
- 2.2 years ago, Ananya’s mother was four times as old as Ananya. The mother is 30 years old now. How old is Ananya now?
- 3.9 years ago, Aditya’s mother was three times as old as Aditya. The mother is 39 years old now. How old is Aditya now?
- 4.3 years ago, Isha’s mother was twice as old as Isha. The mother is 13 years old now. How old is Isha now?
- 5.Diya’s father is five times as old as Diya. The sum of their ages is 60 years. How old is the father?
- 6.7 years ago, Karan’s mother was three times as old as Karan. The mother is 28 years old now. How old is Karan now?
- 7.In 29 years, Tara will be three times as old as Tara was 3 years ago. How old is Tara now?
- 8.In 24 years, Aarav will be twice as old as Aarav was 4 years ago. How old is Aarav now?
- 9.Farhan’s father is five times as old as Farhan. The sum of their ages is 42 years. How old is Farhan?
- 10.Zoya is 10 years older than Aarav. In 8 years, the sum of their ages will be 66. How old is Aarav now?
- 11.In 12 years, Isha will be three times as old as Isha was 2 years ago. How old is Isha now?
- 12.In 25 years, Tara will be twice as old as Tara was 5 years ago. How old is Tara now?
- 13.In 29 years, Meera will be three times as old as Meera was 3 years ago. How old is Meera now?
- 14.Zoya’s father is four times as old as Zoya. The sum of their ages is 30 years. How old is Zoya?
- 15.In 12 years, Meera will be twice as old as Meera was 2 years ago. How old is Meera now?
- 16.Ananya’s father is twice as old as Ananya. The sum of their ages is 42 years. How old is Ananya?
- 17.Saanvi is 5 years older than Zoya. In 2 years, the sum of their ages will be 39. How old is Zoya now?
- 18.Aarav is 8 years older than Zoya. In 6 years, the sum of their ages will be 56. How old is Zoya now?
- 19.Kavya’s father is twice as old as Kavya. The sum of their ages is 30 years. How old is the father?
- 20.2 years ago, Isha’s mother was four times as old as Isha. The mother is 18 years old now. How old is Isha now?
- 21.9 years ago, Saanvi’s mother was three times as old as Saanvi. The mother is 21 years old now. How old is Saanvi now?
- 22.Priya’s father is five times as old as Priya. The sum of their ages is 36 years. How old is Priya?
- 23.Karan’s father is four times as old as Karan. The sum of their ages is 45 years. How old is the father?
- 24.Rahul’s father is five times as old as Rahul. The sum of their ages is 60 years. How old is the father?
- 25.2 years ago, Manav’s mother was three times as old as Manav. The mother is 17 years old now. How old is Manav now?
- 26.2 years ago, Diya’s mother was twice as old as Diya. The mother is 16 years old now. How old is Diya now?
- 27.4 years ago, Diya’s mother was twice as old as Diya. The mother is 22 years old now. How old is Diya now?
- 28.9 years ago, Nisha’s mother was three times as old as Nisha. The mother is 27 years old now. How old is Nisha now?
- 29.Diya is 10 years older than Kabir. In 10 years, the sum of their ages will be 68. How old is Kabir now?
- 30.In 1 years, Aarav will be twice as old as Aarav was 5 years ago. How old is Aarav now?
- 31.Zoya’s father is twice as old as Zoya. The sum of their ages is 18 years. How old is Zoya?
- 32.Rahul’s father is four times as old as Rahul. The sum of their ages is 65 years. How old is Rahul?
- 33.7 years ago, Tara’s mother was twice as old as Tara. The mother is 23 years old now. How old is Tara now?
- 34.7 years ago, Vivaan’s mother was four times as old as Vivaan. The mother is 27 years old now. How old is Vivaan now?
- 35.In 24 years, Farhan will be twice as old as Farhan was 3 years ago. How old is Farhan now?
- 36.Meera is 8 years older than Zoya. In 10 years, the sum of their ages will be 78. How old is Zoya now?
- 37.7 years ago, Aarav’s mother was twice as old as Aarav. The mother is 13 years old now. How old is Aarav now?
- 38.Dev’s father is twice as old as Dev. The sum of their ages is 30 years. How old is the father?
- 39.Arjun is 6 years older than Aditya. In 4 years, the sum of their ages will be 42. How old is Aditya now?
- 40.Priya is 4 years older than Isha. In 3 years, the sum of their ages will be 44. How old is Isha now?
Answer key
- 15
- 9
- 19
- 8
- 50
- 14
- 19
- 32
- 7
- 20
- 9
- 35
- 19
- 6
- 16
- 14
- 15
- 18
- 20
- 6
- 13
- 6
- 36
- 50
- 7
- 9
- 13
- 15
- 19
- 11
- 6
- 13
- 15
- 12
- 30
- 25
- 10
- 20
- 14
- 17
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