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.Diya is 6 years older than Ishaan. In 8 years, the sum of their ages will be 82. How old is Ishaan now?
- 2.Arjun’s father is three times as old as Arjun. The sum of their ages is 56 years. How old is Arjun?
- 3.Aarav’s father is five times as old as Aarav. The sum of their ages is 66 years. How old is the father?
- 4.6 years ago, Kabir’s mother was twice as old as Kabir. The mother is 26 years old now. How old is Kabir now?
- 5.In 22 years, Kabir will be twice as old as Kabir was 2 years ago. How old is Kabir now?
- 6.Ananya’s father is four times as old as Ananya. The sum of their ages is 65 years. How old is the father?
- 7.3 years ago, Meera’s mother was four times as old as Meera. The mother is 43 years old now. How old is Meera now?
- 8.Diya is 5 years older than Nisha. In 4 years, the sum of their ages will be 49. How old is Nisha now?
- 9.Farhan is 5 years older than Kabir. In 10 years, the sum of their ages will be 83. How old is Kabir now?
- 10.Vivaan is 10 years older than Rahul. In 3 years, the sum of their ages will be 48. How old is Rahul now?
- 11.In 14 years, Rohan will be twice as old as Rohan was 5 years ago. How old is Rohan now?
- 12.Ananya is 9 years older than Sneha. In 5 years, the sum of their ages will be 45. How old is Sneha now?
- 13.Manav is 4 years older than Rahul. In 2 years, the sum of their ages will be 28. How old is Rahul now?
- 14.9 years ago, Ananya’s mother was twice as old as Ananya. The mother is 15 years old now. How old is Ananya now?
- 15.2 years ago, Manav’s mother was four times as old as Manav. The mother is 22 years old now. How old is Manav now?
- 16.In 16 years, Ishaan will be three times as old as Ishaan was 6 years ago. How old is Ishaan now?
- 17.5 years ago, Aditya’s mother was twice as old as Aditya. The mother is 23 years old now. How old is Aditya now?
- 18.6 years ago, Meera’s mother was four times as old as Meera. The mother is 18 years old now. How old is Meera now?
- 19.3 years ago, Kabir’s mother was four times as old as Kabir. The mother is 31 years old now. How old is Kabir now?
- 20.Meera’s father is three times as old as Meera. The sum of their ages is 56 years. How old is the father?
- 21.Kabir’s father is three times as old as Kabir. The sum of their ages is 32 years. How old is the father?
- 22.Diya’s father is four times as old as Diya. The sum of their ages is 45 years. How old is Diya?
- 23.Aarav’s father is five times as old as Aarav. The sum of their ages is 60 years. How old is the father?
- 24.Isha’s father is twice as old as Isha. The sum of their ages is 18 years. How old is the father?
- 25.Priya is 9 years older than Ishaan. In 3 years, the sum of their ages will be 47. How old is Ishaan now?
- 26.Nisha is 3 years older than Dev. In 2 years, the sum of their ages will be 57. How old is Dev now?
- 27.9 years ago, Karan’s mother was four times as old as Karan. The mother is 37 years old now. How old is Karan now?
- 28.9 years ago, Priya’s mother was four times as old as Priya. The mother is 33 years old now. How old is Priya now?
- 29.7 years ago, Isha’s mother was four times as old as Isha. The mother is 47 years old now. How old is Isha now?
- 30.Saanvi is 9 years older than Priya. In 6 years, the sum of their ages will be 39. How old is Priya now?
- 31.Sneha is 8 years older than Farhan. In 10 years, the sum of their ages will be 86. How old is Farhan now?
- 32.In 28 years, Sneha will be three times as old as Sneha was 6 years ago. How old is Sneha now?
- 33.7 years ago, Saanvi’s mother was three times as old as Saanvi. The mother is 34 years old now. How old is Saanvi now?
- 34.Sneha is 7 years older than Rahul. In 3 years, the sum of their ages will be 39. How old is Rahul now?
- 35.Arjun’s father is three times as old as Arjun. The sum of their ages is 20 years. How old is the father?
- 36.In 5 years, Karan will be twice as old as Karan was 3 years ago. How old is Karan now?
- 37.Ananya’s father is four times as old as Ananya. The sum of their ages is 70 years. How old is Ananya?
- 38.In 8 years, Manav will be twice as old as Manav was 4 years ago. How old is Manav now?
- 39.Farhan is 9 years older than Diya. In 4 years, the sum of their ages will be 49. How old is Diya now?
- 40.In 15 years, Aditya will be twice as old as Aditya was 5 years ago. How old is Aditya now?
Answer key
- 30
- 14
- 55
- 16
- 26
- 52
- 13
- 18
- 29
- 16
- 24
- 13
- 10
- 12
- 7
- 17
- 14
- 9
- 10
- 42
- 24
- 9
- 50
- 12
- 16
- 25
- 16
- 15
- 17
- 9
- 29
- 23
- 16
- 13
- 15
- 11
- 14
- 16
- 16
- 25
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