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 20 years. How old is Ananya?
- 2.Kavya is 10 years older than Meera. In 3 years, the sum of their ages will be 40. How old is Meera now?
- 3.Diya’s father is four times as old as Diya. The sum of their ages is 50 years. How old is Diya?
- 4.Rohan is 8 years older than Arjun. In 5 years, the sum of their ages will be 42. How old is Arjun now?
- 5.Aditya’s father is twice as old as Aditya. The sum of their ages is 15 years. How old is Aditya?
- 6.2 years ago, Aditya’s mother was twice as old as Aditya. The mother is 22 years old now. How old is Aditya now?
- 7.Ishaan’s father is five times as old as Ishaan. The sum of their ages is 84 years. How old is the father?
- 8.Ananya is 8 years older than Farhan. In 4 years, the sum of their ages will be 56. How old is Farhan now?
- 9.Saanvi is 3 years older than Ishaan. In 8 years, the sum of their ages will be 79. How old is Ishaan now?
- 10.Rohan is 7 years older than Nisha. In 5 years, the sum of their ages will be 55. How old is Nisha now?
- 11.In 6 years, Tara will be three times as old as Tara was 6 years ago. How old is Tara now?
- 12.7 years ago, Farhan’s mother was four times as old as Farhan. The mother is 19 years old now. How old is Farhan now?
- 13.In 24 years, Aditya will be three times as old as Aditya was 6 years ago. How old is Aditya now?
- 14.Karan’s father is four times as old as Karan. The sum of their ages is 55 years. How old is Karan?
- 15.Ananya’s father is three times as old as Ananya. The sum of their ages is 56 years. How old is Ananya?
- 16.In 20 years, Diya will be twice as old as Diya was 3 years ago. How old is Diya now?
- 17.4 years ago, Tara’s mother was four times as old as Tara. The mother is 52 years old now. How old is Tara now?
- 18.Tara is 7 years older than Pooja. In 2 years, the sum of their ages will be 53. How old is Pooja now?
- 19.Pooja’s father is four times as old as Pooja. The sum of their ages is 30 years. How old is the father?
- 20.Rahul is 8 years older than Priya. In 3 years, the sum of their ages will be 34. How old is Priya now?
- 21.In 25 years, Saanvi will be twice as old as Saanvi was 5 years ago. How old is Saanvi now?
- 22.10 years ago, Diya’s mother was twice as old as Diya. The mother is 32 years old now. How old is Diya now?
- 23.Aditya’s father is three times as old as Aditya. The sum of their ages is 36 years. How old is the father?
- 24.Ananya’s father is twice as old as Ananya. The sum of their ages is 21 years. How old is the father?
- 25.Meera is 7 years older than Dev. In 5 years, the sum of their ages will be 35. How old is Dev now?
- 26.Nisha is 2 years older than Karan. In 10 years, the sum of their ages will be 72. How old is Karan now?
- 27.Manav is 2 years older than Priya. In 4 years, the sum of their ages will be 46. How old is Priya now?
- 28.Dev’s father is four times as old as Dev. The sum of their ages is 45 years. How old is Dev?
- 29.9 years ago, Rohan’s mother was four times as old as Rohan. The mother is 33 years old now. How old is Rohan now?
- 30.Ishaan’s father is five times as old as Ishaan. The sum of their ages is 60 years. How old is the father?
- 31.Diya’s father is twice as old as Diya. The sum of their ages is 42 years. How old is the father?
- 32.Nisha’s father is five times as old as Nisha. The sum of their ages is 90 years. How old is the father?
- 33.Isha’s father is three times as old as Isha. The sum of their ages is 52 years. How old is the father?
- 34.Tara is 6 years older than Aditya. In 5 years, the sum of their ages will be 60. How old is Aditya now?
- 35.Kabir’s father is five times as old as Kabir. The sum of their ages is 90 years. How old is Kabir?
- 36.In 10 years, Vivaan will be twice as old as Vivaan was 2 years ago. How old is Vivaan now?
- 37.In 9 years, Rohan will be twice as old as Rohan was 3 years ago. How old is Rohan now?
- 38.In 16 years, Sneha will be twice as old as Sneha was 5 years ago. How old is Sneha now?
- 39.Aarav is 3 years older than Saanvi. In 6 years, the sum of their ages will be 49. How old is Saanvi now?
- 40.Farhan’s father is four times as old as Farhan. The sum of their ages is 35 years. How old is the father?
Answer key
- 5
- 12
- 10
- 12
- 5
- 12
- 70
- 20
- 30
- 19
- 12
- 10
- 21
- 11
- 14
- 26
- 16
- 21
- 24
- 10
- 35
- 21
- 27
- 14
- 9
- 25
- 18
- 9
- 15
- 50
- 28
- 75
- 39
- 22
- 15
- 14
- 15
- 26
- 17
- 28
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