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 22 years, Diya will be twice as old as Diya was 4 years ago. How old is Diya now?
- 2.Diya’s father is five times as old as Diya. The sum of their ages is 72 years. How old is Diya?
- 3.Diya’s father is twice as old as Diya. The sum of their ages is 21 years. How old is the father?
- 4.Manav is 10 years older than Saanvi. In 8 years, the sum of their ages will be 80. How old is Saanvi now?
- 5.Karan’s father is four times as old as Karan. The sum of their ages is 70 years. How old is Karan?
- 6.Farhan is 8 years older than Kavya. In 5 years, the sum of their ages will be 62. How old is Kavya now?
- 7.Manav is 9 years older than Farhan. In 3 years, the sum of their ages will be 63. How old is Farhan now?
- 8.Arjun is 2 years older than Aarav. In 3 years, the sum of their ages will be 40. How old is Aarav now?
- 9.Aditya’s father is five times as old as Aditya. The sum of their ages is 78 years. How old is Aditya?
- 10.Kavya is 3 years older than Zoya. In 7 years, the sum of their ages will be 63. How old is Zoya now?
- 11.5 years ago, Tara’s mother was twice as old as Tara. The mother is 13 years old now. How old is Tara now?
- 12.Manav is 9 years older than Kabir. In 9 years, the sum of their ages will be 45. How old is Kabir now?
- 13.7 years ago, Rahul’s mother was twice as old as Rahul. The mother is 19 years old now. How old is Rahul now?
- 14.Zoya is 8 years older than Manav. In 2 years, the sum of their ages will be 58. How old is Manav now?
- 15.Rahul’s father is four times as old as Rahul. The sum of their ages is 55 years. How old is Rahul?
- 16.In 29 years, Priya will be three times as old as Priya was 3 years ago. How old is Priya now?
- 17.Dev’s father is five times as old as Dev. The sum of their ages is 84 years. How old is Dev?
- 18.In 24 years, Tara will be three times as old as Tara was 4 years ago. How old is Tara now?
- 19.In 12 years, Farhan will be twice as old as Farhan was 6 years ago. How old is Farhan now?
- 20.In 20 years, Isha will be twice as old as Isha was 3 years ago. How old is Isha now?
- 21.9 years ago, Vivaan’s mother was three times as old as Vivaan. The mother is 30 years old now. How old is Vivaan now?
- 22.Rohan’s father is five times as old as Rohan. The sum of their ages is 30 years. How old is Rohan?
- 23.In 18 years, Kabir will be twice as old as Kabir was 3 years ago. How old is Kabir now?
- 24.Farhan is 9 years older than Kabir. In 9 years, the sum of their ages will be 51. How old is Kabir now?
- 25.5 years ago, Ishaan’s mother was three times as old as Ishaan. The mother is 41 years old now. How old is Ishaan now?
- 26.Sneha is 9 years older than Diya. In 3 years, the sum of their ages will be 63. How old is Diya now?
- 27.Kabir’s father is twice as old as Kabir. The sum of their ages is 15 years. How old is the father?
- 28.Diya’s father is four times as old as Diya. The sum of their ages is 60 years. How old is Diya?
- 29.Rohan’s father is twice as old as Rohan. The sum of their ages is 33 years. How old is Rohan?
- 30.Karan is 2 years older than Ishaan. In 6 years, the sum of their ages will be 58. How old is Ishaan now?
- 31.5 years ago, Farhan’s mother was twice as old as Farhan. The mother is 19 years old now. How old is Farhan now?
- 32.Kabir is 3 years older than Isha. In 5 years, the sum of their ages will be 33. How old is Isha now?
- 33.9 years ago, Rohan’s mother was twice as old as Rohan. The mother is 15 years old now. How old is Rohan now?
- 34.Karan is 2 years older than Diya. In 8 years, the sum of their ages will be 34. How old is Diya now?
- 35.Kabir’s father is four times as old as Kabir. The sum of their ages is 25 years. How old is the father?
- 36.Aditya’s father is twice as old as Aditya. The sum of their ages is 24 years. How old is Aditya?
- 37.Zoya’s father is twice as old as Zoya. The sum of their ages is 21 years. How old is Zoya?
- 38.7 years ago, Diya’s mother was twice as old as Diya. The mother is 23 years old now. How old is Diya now?
- 39.In 24 years, Ananya will be twice as old as Ananya was 2 years ago. How old is Ananya now?
- 40.In 27 years, Diya will be twice as old as Diya was 4 years ago. How old is Diya now?
Answer key
- 30
- 12
- 14
- 27
- 14
- 22
- 24
- 16
- 13
- 23
- 9
- 9
- 13
- 23
- 11
- 19
- 14
- 18
- 24
- 26
- 16
- 5
- 24
- 12
- 17
- 24
- 10
- 12
- 11
- 22
- 12
- 10
- 12
- 8
- 20
- 8
- 7
- 15
- 28
- 35
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