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 45 years. How old is Vivaan?
- 2.9 years ago, Diya’s mother was three times as old as Diya. The mother is 21 years old now. How old is Diya now?
- 3.Rahul’s father is three times as old as Rahul. The sum of their ages is 60 years. How old is Rahul?
- 4.Dev is 9 years older than Diya. In 7 years, the sum of their ages will be 65. How old is Diya now?
- 5.Dev’s father is five times as old as Dev. The sum of their ages is 84 years. How old is Dev?
- 6.Zoya’s father is five times as old as Zoya. The sum of their ages is 30 years. How old is Zoya?
- 7.7 years ago, Aarav’s mother was four times as old as Aarav. The mother is 31 years old now. How old is Aarav now?
- 8.Tara’s father is three times as old as Tara. The sum of their ages is 60 years. How old is the father?
- 9.3 years ago, Manav’s mother was four times as old as Manav. The mother is 35 years old now. How old is Manav now?
- 10.Kavya’s father is five times as old as Kavya. The sum of their ages is 90 years. How old is Kavya?
- 11.Isha’s father is five times as old as Isha. The sum of their ages is 48 years. How old is Isha?
- 12.6 years ago, Farhan’s mother was three times as old as Farhan. The mother is 30 years old now. How old is Farhan now?
- 13.4 years ago, Priya’s mother was three times as old as Priya. The mother is 34 years old now. How old is Priya now?
- 14.Kavya’s father is three times as old as Kavya. The sum of their ages is 36 years. How old is Kavya?
- 15.4 years ago, Ananya’s mother was twice as old as Ananya. The mother is 20 years old now. How old is Ananya now?
- 16.Rohan’s father is five times as old as Rohan. The sum of their ages is 54 years. How old is Rohan?
- 17.Pooja’s father is four times as old as Pooja. The sum of their ages is 65 years. How old is Pooja?
- 18.Arjun’s father is five times as old as Arjun. The sum of their ages is 72 years. How old is the father?
- 19.4 years ago, Ananya’s mother was three times as old as Ananya. The mother is 25 years old now. How old is Ananya now?
- 20.In 11 years, Farhan will be twice as old as Farhan was 2 years ago. How old is Farhan now?
- 21.Dev’s father is twice as old as Dev. The sum of their ages is 42 years. How old is Dev?
- 22.Kavya is 4 years older than Tara. In 2 years, the sum of their ages will be 28. How old is Tara now?
- 23.Isha is 8 years older than Rahul. In 3 years, the sum of their ages will be 26. How old is Rahul now?
- 24.In 10 years, Nisha will be three times as old as Nisha was 2 years ago. How old is Nisha now?
- 25.In 6 years, Vivaan will be twice as old as Vivaan was 5 years ago. How old is Vivaan now?
- 26.10 years ago, Aditya’s mother was three times as old as Aditya. The mother is 34 years old now. How old is Aditya now?
- 27.4 years ago, Meera’s mother was three times as old as Meera. The mother is 40 years old now. How old is Meera now?
- 28.Tara’s father is three times as old as Tara. The sum of their ages is 60 years. How old is Tara?
- 29.Meera is 2 years older than Karan. In 4 years, the sum of their ages will be 62. How old is Karan now?
- 30.Meera’s father is twice as old as Meera. The sum of their ages is 18 years. How old is Meera?
- 31.Arjun is 4 years older than Ananya. In 9 years, the sum of their ages will be 48. How old is Ananya now?
- 32.In 4 years, Diya will be twice as old as Diya was 4 years ago. How old is Diya now?
- 33.Zoya is 2 years older than Kavya. In 6 years, the sum of their ages will be 48. How old is Kavya now?
- 34.Farhan’s father is twice as old as Farhan. The sum of their ages is 24 years. How old is the father?
- 35.Ananya’s father is five times as old as Ananya. The sum of their ages is 78 years. How old is Ananya?
- 36.Isha’s father is four times as old as Isha. The sum of their ages is 60 years. How old is the father?
- 37.In 25 years, Ishaan will be three times as old as Ishaan was 5 years ago. How old is Ishaan now?
- 38.4 years ago, Saanvi’s mother was four times as old as Saanvi. The mother is 32 years old now. How old is Saanvi now?
- 39.Priya’s father is four times as old as Priya. The sum of their ages is 45 years. How old is the father?
- 40.Aditya’s father is twice as old as Aditya. The sum of their ages is 21 years. How old is Aditya?
Answer key
- 9
- 13
- 15
- 21
- 14
- 5
- 13
- 45
- 11
- 15
- 8
- 14
- 14
- 9
- 12
- 9
- 13
- 60
- 11
- 15
- 14
- 10
- 6
- 8
- 16
- 18
- 16
- 15
- 26
- 6
- 13
- 12
- 17
- 16
- 13
- 48
- 20
- 11
- 36
- 7
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