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 three times as old as Farhan. The sum of their ages is 20 years. How old is the father?
- 2.Dev is 4 years older than Rahul. In 7 years, the sum of their ages will be 32. How old is Rahul now?
- 3.Rahul is 4 years older than Priya. In 5 years, the sum of their ages will be 24. How old is Priya now?
- 4.Nisha’s father is three times as old as Nisha. The sum of their ages is 44 years. How old is Nisha?
- 5.Aditya’s father is five times as old as Aditya. The sum of their ages is 48 years. How old is the father?
- 6.2 years ago, Rahul’s mother was twice as old as Rahul. The mother is 22 years old now. How old is Rahul now?
- 7.Nisha is 3 years older than Arjun. In 4 years, the sum of their ages will be 23. How old is Arjun now?
- 8.In 24 years, Tara will be twice as old as Tara was 2 years ago. How old is Tara now?
- 9.Arjun’s father is four times as old as Arjun. The sum of their ages is 30 years. How old is the father?
- 10.Aditya’s father is four times as old as Aditya. The sum of their ages is 35 years. How old is Aditya?
- 11.3 years ago, Kabir’s mother was three times as old as Kabir. The mother is 27 years old now. How old is Kabir now?
- 12.2 years ago, Isha’s mother was four times as old as Isha. The mother is 34 years old now. How old is Isha now?
- 13.5 years ago, Priya’s mother was four times as old as Priya. The mother is 41 years old now. How old is Priya now?
- 14.In 24 years, Ishaan will be twice as old as Ishaan was 4 years ago. How old is Ishaan now?
- 15.Kabir is 6 years older than Tara. In 6 years, the sum of their ages will be 66. How old is Tara now?
- 16.In 28 years, Zoya will be twice as old as Zoya was 4 years ago. How old is Zoya now?
- 17.Nisha’s father is four times as old as Nisha. The sum of their ages is 40 years. How old is Nisha?
- 18.2 years ago, Nisha’s mother was twice as old as Nisha. The mother is 16 years old now. How old is Nisha now?
- 19.Dev is 10 years older than Diya. In 3 years, the sum of their ages will be 30. How old is Diya now?
- 20.5 years ago, Aditya’s mother was four times as old as Aditya. The mother is 25 years old now. How old is Aditya now?
- 21.In 6 years, Ananya will be three times as old as Ananya was 6 years ago. How old is Ananya now?
- 22.Pooja’s father is four times as old as Pooja. The sum of their ages is 45 years. How old is Pooja?
- 23.Isha’s father is three times as old as Isha. The sum of their ages is 60 years. How old is the father?
- 24.3 years ago, Vivaan’s mother was twice as old as Vivaan. The mother is 21 years old now. How old is Vivaan now?
- 25.Aarav is 7 years older than Karan. In 3 years, the sum of their ages will be 27. How old is Karan now?
- 26.In 9 years, Rahul will be twice as old as Rahul was 4 years ago. How old is Rahul now?
- 27.6 years ago, Rohan’s mother was twice as old as Rohan. The mother is 24 years old now. How old is Rohan now?
- 28.Meera’s father is four times as old as Meera. The sum of their ages is 65 years. How old is the father?
- 29.10 years ago, Arjun’s mother was three times as old as Arjun. The mother is 22 years old now. How old is Arjun now?
- 30.In 15 years, Vivaan will be three times as old as Vivaan was 3 years ago. How old is Vivaan now?
- 31.In 6 years, Ishaan will be twice as old as Ishaan was 6 years ago. How old is Ishaan now?
- 32.In 11 years, Sneha will be three times as old as Sneha was 5 years ago. How old is Sneha now?
- 33.8 years ago, Aarav’s mother was three times as old as Aarav. The mother is 29 years old now. How old is Aarav now?
- 34.In 17 years, Vivaan will be twice as old as Vivaan was 6 years ago. How old is Vivaan now?
- 35.Rahul’s father is four times as old as Rahul. The sum of their ages is 60 years. How old is Rahul?
- 36.Pooja’s father is four times as old as Pooja. The sum of their ages is 25 years. How old is the father?
- 37.9 years ago, Farhan’s mother was four times as old as Farhan. The mother is 21 years old now. How old is Farhan now?
- 38.Arjun’s father is four times as old as Arjun. The sum of their ages is 25 years. How old is Arjun?
- 39.Aditya is 5 years older than Farhan. In 6 years, the sum of their ages will be 71. How old is Farhan now?
- 40.Karan is 10 years older than Dev. In 8 years, the sum of their ages will be 64. How old is Dev now?
Answer key
- 15
- 7
- 5
- 11
- 40
- 12
- 6
- 28
- 24
- 7
- 11
- 10
- 14
- 32
- 24
- 36
- 8
- 9
- 7
- 10
- 12
- 9
- 45
- 12
- 7
- 17
- 15
- 52
- 14
- 12
- 18
- 13
- 15
- 29
- 12
- 20
- 12
- 5
- 27
- 19
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