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.Farhan’s father is five times as old as Farhan. The sum of their ages is 84 years. How old is Farhan?
- 2.In 9 years, Diya will be twice as old as Diya was 4 years ago. How old is Diya now?
- 3.9 years ago, Aarav’s mother was three times as old as Aarav. The mother is 39 years old now. How old is Aarav now?
- 4.Pooja’s father is twice as old as Pooja. The sum of their ages is 15 years. How old is the father?
- 5.In 20 years, Arjun will be twice as old as Arjun was 6 years ago. How old is Arjun now?
- 6.Pooja’s father is four times as old as Pooja. The sum of their ages is 35 years. How old is the father?
- 7.8 years ago, Pooja’s mother was three times as old as Pooja. The mother is 29 years old now. How old is Pooja now?
- 8.Ananya is 10 years older than Rahul. In 3 years, the sum of their ages will be 64. How old is Rahul now?
- 9.Aarav’s father is five times as old as Aarav. The sum of their ages is 66 years. How old is Aarav?
- 10.Arjun is 2 years older than Nisha. In 2 years, the sum of their ages will be 60. How old is Nisha now?
- 11.In 16 years, Priya will be twice as old as Priya was 5 years ago. How old is Priya now?
- 12.Arjun’s father is three times as old as Arjun. The sum of their ages is 56 years. How old is the father?
- 13.Aditya’s father is twice as old as Aditya. The sum of their ages is 24 years. How old is the father?
- 14.In 1 years, Farhan will be twice as old as Farhan was 4 years ago. How old is Farhan now?
- 15.Pooja’s father is five times as old as Pooja. The sum of their ages is 36 years. How old is Pooja?
- 16.In 7 years, Isha will be twice as old as Isha was 3 years ago. How old is Isha now?
- 17.Kavya is 3 years older than Diya. In 6 years, the sum of their ages will be 53. How old is Diya now?
- 18.Vivaan is 5 years older than Nisha. In 5 years, the sum of their ages will be 27. How old is Nisha now?
- 19.Karan’s father is five times as old as Karan. The sum of their ages is 42 years. How old is the father?
- 20.Meera’s father is five times as old as Meera. The sum of their ages is 72 years. How old is Meera?
- 21.5 years ago, Farhan’s mother was twice as old as Farhan. The mother is 23 years old now. How old is Farhan now?
- 22.6 years ago, Zoya’s mother was three times as old as Zoya. The mother is 30 years old now. How old is Zoya now?
- 23.Ananya’s father is four times as old as Ananya. The sum of their ages is 40 years. How old is Ananya?
- 24.Meera’s father is four times as old as Meera. The sum of their ages is 35 years. How old is Meera?
- 25.In 17 years, Arjun will be twice as old as Arjun was 3 years ago. How old is Arjun now?
- 26.Isha’s father is twice as old as Isha. The sum of their ages is 33 years. How old is Isha?
- 27.In 24 years, Ananya will be twice as old as Ananya was 3 years ago. How old is Ananya now?
- 28.Priya is 6 years older than Manav. In 10 years, the sum of their ages will be 54. How old is Manav now?
- 29.Isha’s father is four times as old as Isha. The sum of their ages is 30 years. How old is Isha?
- 30.6 years ago, Kabir’s mother was twice as old as Kabir. The mother is 16 years old now. How old is Kabir now?
- 31.7 years ago, Pooja’s mother was three times as old as Pooja. The mother is 22 years old now. How old is Pooja now?
- 32.Aarav’s father is four times as old as Aarav. The sum of their ages is 35 years. How old is Aarav?
- 33.Kabir is 6 years older than Zoya. In 8 years, the sum of their ages will be 58. How old is Zoya now?
- 34.Rohan’s father is five times as old as Rohan. The sum of their ages is 84 years. How old is the father?
- 35.3 years ago, Rahul’s mother was twice as old as Rahul. The mother is 19 years old now. How old is Rahul now?
- 36.10 years ago, Priya’s mother was four times as old as Priya. The mother is 54 years old now. How old is Priya now?
- 37.Dev is 2 years older than Arjun. In 2 years, the sum of their ages will be 18. How old is Arjun now?
- 38.Arjun’s father is twice as old as Arjun. The sum of their ages is 24 years. How old is Arjun?
- 39.10 years ago, Vivaan’s mother was four times as old as Vivaan. The mother is 30 years old now. How old is Vivaan now?
- 40.Ishaan is 2 years older than Kavya. In 9 years, the sum of their ages will be 50. How old is Kavya now?
Answer key
- 14
- 17
- 19
- 10
- 32
- 28
- 15
- 24
- 11
- 27
- 26
- 42
- 16
- 9
- 6
- 13
- 19
- 6
- 35
- 12
- 14
- 14
- 8
- 7
- 23
- 11
- 30
- 14
- 6
- 11
- 12
- 7
- 18
- 70
- 11
- 21
- 6
- 8
- 15
- 15
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