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 32 years. How old is Ananya?
- 2.In 7 years, Isha will be twice as old as Isha was 5 years ago. How old is Isha now?
- 3.Zoya is 7 years older than Pooja. In 6 years, the sum of their ages will be 57. How old is Pooja now?
- 4.In 23 years, Priya will be twice as old as Priya was 5 years ago. How old is Priya now?
- 5.Isha is 9 years older than Arjun. In 5 years, the sum of their ages will be 73. How old is Arjun now?
- 6.Sneha is 10 years older than Isha. In 2 years, the sum of their ages will be 54. How old is Isha now?
- 7.In 25 years, Pooja will be three times as old as Pooja was 3 years ago. How old is Pooja now?
- 8.Priya’s father is five times as old as Priya. The sum of their ages is 90 years. How old is the father?
- 9.Kavya’s father is four times as old as Kavya. The sum of their ages is 25 years. How old is Kavya?
- 10.Aarav’s father is three times as old as Aarav. The sum of their ages is 56 years. How old is the father?
- 11.Diya is 9 years older than Karan. In 2 years, the sum of their ages will be 69. How old is Karan now?
- 12.4 years ago, Aditya’s mother was four times as old as Aditya. The mother is 36 years old now. How old is Aditya now?
- 13.Tara is 4 years older than Rahul. In 8 years, the sum of their ages will be 72. How old is Rahul now?
- 14.Farhan is 2 years older than Kabir. In 4 years, the sum of their ages will be 56. How old is Kabir now?
- 15.Nisha’s father is five times as old as Nisha. The sum of their ages is 30 years. How old is Nisha?
- 16.3 years ago, Nisha’s mother was three times as old as Nisha. The mother is 36 years old now. How old is Nisha now?
- 17.Rohan’s father is twice as old as Rohan. The sum of their ages is 18 years. How old is the father?
- 18.Rohan is 8 years older than Isha. In 10 years, the sum of their ages will be 50. How old is Isha now?
- 19.In 24 years, Rohan will be three times as old as Rohan was 6 years ago. How old is Rohan now?
- 20.3 years ago, Rohan’s mother was twice as old as Rohan. The mother is 17 years old now. How old is Rohan now?
- 21.3 years ago, Ananya’s mother was three times as old as Ananya. The mother is 15 years old now. How old is Ananya now?
- 22.Kavya is 5 years older than Nisha. In 6 years, the sum of their ages will be 63. How old is Nisha now?
- 23.In 7 years, Priya will be twice as old as Priya was 3 years ago. How old is Priya now?
- 24.Farhan’s father is four times as old as Farhan. The sum of their ages is 40 years. How old is the father?
- 25.Dev’s father is four times as old as Dev. The sum of their ages is 25 years. How old is the father?
- 26.Arjun is 5 years older than Aarav. In 3 years, the sum of their ages will be 29. How old is Aarav now?
- 27.Arjun is 7 years older than Rohan. In 8 years, the sum of their ages will be 33. How old is Rohan now?
- 28.5 years ago, Ishaan’s mother was four times as old as Ishaan. The mother is 17 years old now. How old is Ishaan now?
- 29.Isha’s father is five times as old as Isha. The sum of their ages is 90 years. How old is the father?
- 30.Ishaan’s father is four times as old as Ishaan. The sum of their ages is 25 years. How old is Ishaan?
- 31.In 4 years, Saanvi will be twice as old as Saanvi was 2 years ago. How old is Saanvi now?
- 32.Priya is 4 years older than Dev. In 4 years, the sum of their ages will be 34. How old is Dev now?
- 33.Ishaan’s father is three times as old as Ishaan. The sum of their ages is 48 years. How old is Ishaan?
- 34.In 27 years, Ishaan will be twice as old as Ishaan was 3 years ago. How old is Ishaan now?
- 35.In 20 years, Vivaan will be twice as old as Vivaan was 3 years ago. How old is Vivaan now?
- 36.Nisha’s father is four times as old as Nisha. The sum of their ages is 25 years. How old is the father?
- 37.10 years ago, Aarav’s mother was three times as old as Aarav. The mother is 22 years old now. How old is Aarav now?
- 38.In 23 years, Tara will be twice as old as Tara was 2 years ago. How old is Tara now?
- 39.10 years ago, Karan’s mother was three times as old as Karan. The mother is 19 years old now. How old is Karan now?
- 40.Arjun is 6 years older than Tara. In 3 years, the sum of their ages will be 22. How old is Tara now?
Answer key
- 8
- 17
- 19
- 33
- 27
- 20
- 17
- 75
- 5
- 42
- 28
- 12
- 26
- 23
- 5
- 14
- 12
- 11
- 21
- 10
- 7
- 23
- 13
- 32
- 20
- 9
- 5
- 8
- 75
- 5
- 8
- 11
- 12
- 33
- 26
- 20
- 14
- 27
- 13
- 5
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