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.Nisha’s father is four times as old as Nisha. The sum of their ages is 50 years. How old is Nisha?
- 2.In 20 years, Manav will be three times as old as Manav was 2 years ago. How old is Manav now?
- 3.Diya’s father is twice as old as Diya. The sum of their ages is 30 years. How old is Diya?
- 4.6 years ago, Isha’s mother was twice as old as Isha. The mother is 14 years old now. How old is Isha now?
- 5.In 3 years, Meera will be twice as old as Meera was 6 years ago. How old is Meera now?
- 6.Ananya’s father is twice as old as Ananya. The sum of their ages is 45 years. How old is Ananya?
- 7.Rohan is 3 years older than Zoya. In 6 years, the sum of their ages will be 61. How old is Zoya now?
- 8.Vivaan’s father is twice as old as Vivaan. The sum of their ages is 45 years. How old is the father?
- 9.Karan’s father is twice as old as Karan. The sum of their ages is 36 years. How old is Karan?
- 10.3 years ago, Rohan’s mother was four times as old as Rohan. The mother is 39 years old now. How old is Rohan now?
- 11.Aarav is 2 years older than Vivaan. In 10 years, the sum of their ages will be 40. How old is Vivaan now?
- 12.Rohan is 7 years older than Priya. In 7 years, the sum of their ages will be 45. How old is Priya now?
- 13.Nisha is 3 years older than Diya. In 9 years, the sum of their ages will be 53. How old is Diya now?
- 14.Manav’s father is five times as old as Manav. The sum of their ages is 42 years. How old is the father?
- 15.Sneha is 8 years older than Kabir. In 9 years, the sum of their ages will be 80. How old is Kabir now?
- 16.Nisha is 3 years older than Tara. In 2 years, the sum of their ages will be 41. How old is Tara now?
- 17.Meera is 4 years older than Isha. In 2 years, the sum of their ages will be 58. How old is Isha now?
- 18.Isha is 7 years older than Farhan. In 3 years, the sum of their ages will be 55. How old is Farhan now?
- 19.6 years ago, Vivaan’s mother was twice as old as Vivaan. The mother is 16 years old now. How old is Vivaan now?
- 20.Vivaan is 6 years older than Ishaan. In 4 years, the sum of their ages will be 32. How old is Ishaan now?
- 21.Manav’s father is four times as old as Manav. The sum of their ages is 65 years. How old is Manav?
- 22.Dev is 2 years older than Isha. In 10 years, the sum of their ages will be 52. How old is Isha now?
- 23.Nisha is 7 years older than Saanvi. In 10 years, the sum of their ages will be 87. How old is Saanvi now?
- 24.Sneha is 8 years older than Tara. In 3 years, the sum of their ages will be 46. How old is Tara now?
- 25.In 8 years, Vivaan will be twice as old as Vivaan was 4 years ago. How old is Vivaan now?
- 26.Dev’s father is four times as old as Dev. The sum of their ages is 75 years. How old is Dev?
- 27.Rohan’s father is three times as old as Rohan. The sum of their ages is 60 years. How old is Rohan?
- 28.10 years ago, Diya’s mother was three times as old as Diya. The mother is 40 years old now. How old is Diya now?
- 29.Pooja is 4 years older than Diya. In 2 years, the sum of their ages will be 30. How old is Diya now?
- 30.4 years ago, Rahul’s mother was three times as old as Rahul. The mother is 28 years old now. How old is Rahul now?
- 31.Ishaan’s father is three times as old as Ishaan. The sum of their ages is 56 years. How old is the father?
- 32.In 10 years, Kavya will be three times as old as Kavya was 6 years ago. How old is Kavya now?
- 33.Meera’s father is four times as old as Meera. The sum of their ages is 50 years. How old is the father?
- 34.Rahul’s father is four times as old as Rahul. The sum of their ages is 65 years. How old is Rahul?
- 35.Kabir’s father is four times as old as Kabir. The sum of their ages is 40 years. How old is the father?
- 36.Vivaan’s father is twice as old as Vivaan. The sum of their ages is 21 years. How old is Vivaan?
- 37.6 years ago, Karan’s mother was four times as old as Karan. The mother is 22 years old now. How old is Karan now?
- 38.4 years ago, Priya’s mother was three times as old as Priya. The mother is 22 years old now. How old is Priya now?
- 39.Diya’s father is four times as old as Diya. The sum of their ages is 45 years. How old is the father?
- 40.Sneha’s father is four times as old as Sneha. The sum of their ages is 60 years. How old is Sneha?
Answer key
- 10
- 13
- 10
- 10
- 15
- 15
- 23
- 30
- 12
- 12
- 9
- 12
- 16
- 35
- 27
- 17
- 25
- 21
- 11
- 9
- 13
- 15
- 30
- 16
- 16
- 15
- 15
- 20
- 11
- 12
- 42
- 14
- 40
- 13
- 32
- 7
- 10
- 10
- 36
- 12
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