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.In 7 years, Pooja will be three times as old as Pooja was 3 years ago. How old is Pooja now?
- 2.In 25 years, Arjun will be three times as old as Arjun was 3 years ago. How old is Arjun now?
- 3.Ananya’s father is five times as old as Ananya. The sum of their ages is 66 years. How old is Ananya?
- 4.3 years ago, Zoya’s mother was twice as old as Zoya. The mother is 23 years old now. How old is Zoya now?
- 5.Nisha’s father is three times as old as Nisha. The sum of their ages is 40 years. How old is Nisha?
- 6.In 14 years, Manav will be twice as old as Manav was 2 years ago. How old is Manav now?
- 7.5 years ago, Ananya’s mother was four times as old as Ananya. The mother is 25 years old now. How old is Ananya now?
- 8.3 years ago, Vivaan’s mother was four times as old as Vivaan. The mother is 47 years old now. How old is Vivaan now?
- 9.4 years ago, Priya’s mother was twice as old as Priya. The mother is 18 years old now. How old is Priya now?
- 10.In 20 years, Diya will be three times as old as Diya was 6 years ago. How old is Diya now?
- 11.In 21 years, Rahul will be twice as old as Rahul was 5 years ago. How old is Rahul now?
- 12.Arjun is 9 years older than Rahul. In 10 years, the sum of their ages will be 61. How old is Rahul now?
- 13.Vivaan is 10 years older than Karan. In 5 years, the sum of their ages will be 54. How old is Karan now?
- 14.In 22 years, Pooja will be twice as old as Pooja was 5 years ago. How old is Pooja now?
- 15.Farhan is 10 years older than Diya. In 3 years, the sum of their ages will be 26. How old is Diya now?
- 16.Saanvi’s father is twice as old as Saanvi. The sum of their ages is 27 years. How old is the father?
- 17.8 years ago, Diya’s mother was four times as old as Diya. The mother is 28 years old now. How old is Diya now?
- 18.Zoya’s father is three times as old as Zoya. The sum of their ages is 32 years. How old is the father?
- 19.Farhan’s father is four times as old as Farhan. The sum of their ages is 30 years. How old is Farhan?
- 20.7 years ago, Vivaan’s mother was four times as old as Vivaan. The mother is 39 years old now. How old is Vivaan now?
- 21.In 7 years, Arjun will be three times as old as Arjun was 3 years ago. How old is Arjun now?
- 22.Ananya’s father is four times as old as Ananya. The sum of their ages is 50 years. How old is Ananya?
- 23.Farhan’s father is four times as old as Farhan. The sum of their ages is 25 years. How old is Farhan?
- 24.7 years ago, Karan’s mother was twice as old as Karan. The mother is 25 years old now. How old is Karan now?
- 25.4 years ago, Priya’s mother was twice as old as Priya. The mother is 24 years old now. How old is Priya now?
- 26.Diya is 6 years older than Saanvi. In 7 years, the sum of their ages will be 76. How old is Saanvi now?
- 27.10 years ago, Zoya’s mother was four times as old as Zoya. The mother is 58 years old now. How old is Zoya now?
- 28.In 17 years, Vivaan will be twice as old as Vivaan was 5 years ago. How old is Vivaan now?
- 29.In 28 years, Karan will be three times as old as Karan was 2 years ago. How old is Karan now?
- 30.2 years ago, Arjun’s mother was three times as old as Arjun. The mother is 29 years old now. How old is Arjun now?
- 31.Karan’s father is three times as old as Karan. The sum of their ages is 20 years. How old is the father?
- 32.Manav’s father is three times as old as Manav. The sum of their ages is 40 years. How old is the father?
- 33.7 years ago, Arjun’s mother was twice as old as Arjun. The mother is 29 years old now. How old is Arjun now?
- 34.Farhan’s father is five times as old as Farhan. The sum of their ages is 36 years. How old is the father?
- 35.Ananya is 6 years older than Rohan. In 9 years, the sum of their ages will be 82. How old is Rohan now?
- 36.4 years ago, Aditya’s mother was three times as old as Aditya. The mother is 34 years old now. How old is Aditya now?
- 37.9 years ago, Meera’s mother was twice as old as Meera. The mother is 17 years old now. How old is Meera now?
- 38.In 8 years, Sneha will be twice as old as Sneha was 6 years ago. How old is Sneha now?
- 39.Nisha’s father is five times as old as Nisha. The sum of their ages is 72 years. How old is the father?
- 40.In 20 years, Arjun will be twice as old as Arjun was 6 years ago. How old is Arjun now?
Answer key
- 8
- 17
- 11
- 13
- 10
- 18
- 10
- 14
- 11
- 19
- 31
- 16
- 17
- 32
- 5
- 18
- 13
- 24
- 6
- 15
- 8
- 10
- 5
- 16
- 14
- 28
- 22
- 27
- 17
- 11
- 15
- 30
- 18
- 30
- 29
- 14
- 13
- 20
- 60
- 32
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