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.Arjun’s father is twice as old as Arjun. The sum of their ages is 18 years. How old is Arjun?
- 2.6 years ago, Arjun’s mother was twice as old as Arjun. The mother is 16 years old now. How old is Arjun now?
- 3.In 16 years, Saanvi will be twice as old as Saanvi was 5 years ago. How old is Saanvi now?
- 4.In 15 years, Vivaan will be three times as old as Vivaan was 5 years ago. How old is Vivaan now?
- 5.Isha is 2 years older than Pooja. In 6 years, the sum of their ages will be 46. How old is Pooja now?
- 6.Tara is 9 years older than Rahul. In 7 years, the sum of their ages will be 47. How old is Rahul now?
- 7.In 9 years, Arjun will be twice as old as Arjun was 2 years ago. How old is Arjun now?
- 8.3 years ago, Aarav’s mother was twice as old as Aarav. The mother is 13 years old now. How old is Aarav now?
- 9.Priya’s father is twice as old as Priya. The sum of their ages is 45 years. How old is Priya?
- 10.Farhan is 9 years older than Rahul. In 6 years, the sum of their ages will be 51. How old is Rahul now?
- 11.Vivaan is 3 years older than Isha. In 4 years, the sum of their ages will be 43. How old is Isha now?
- 12.Aarav is 6 years older than Rohan. In 4 years, the sum of their ages will be 28. How old is Rohan now?
- 13.8 years ago, Farhan’s mother was three times as old as Farhan. The mother is 38 years old now. How old is Farhan now?
- 14.Isha’s father is four times as old as Isha. The sum of their ages is 30 years. How old is the father?
- 15.In 29 years, Isha will be twice as old as Isha was 3 years ago. How old is Isha now?
- 16.Sneha is 2 years older than Nisha. In 10 years, the sum of their ages will be 76. How old is Nisha now?
- 17.Tara is 4 years older than Kabir. In 5 years, the sum of their ages will be 46. How old is Kabir now?
- 18.6 years ago, Aditya’s mother was twice as old as Aditya. The mother is 18 years old now. How old is Aditya now?
- 19.Nisha is 7 years older than Aditya. In 2 years, the sum of their ages will be 49. How old is Aditya now?
- 20.6 years ago, Ananya’s mother was four times as old as Ananya. The mother is 54 years old now. How old is Ananya now?
- 21.Aditya’s father is twice as old as Aditya. The sum of their ages is 33 years. How old is the father?
- 22.Aarav’s father is twice as old as Aarav. The sum of their ages is 24 years. How old is Aarav?
- 23.Farhan’s father is three times as old as Farhan. The sum of their ages is 20 years. How old is Farhan?
- 24.In 29 years, Pooja will be three times as old as Pooja was 5 years ago. How old is Pooja now?
- 25.Rahul’s father is three times as old as Rahul. The sum of their ages is 40 years. How old is Rahul?
- 26.Kabir’s father is three times as old as Kabir. The sum of their ages is 56 years. How old is Kabir?
- 27.Rahul’s father is five times as old as Rahul. The sum of their ages is 72 years. How old is Rahul?
- 28.Arjun is 7 years older than Dev. In 5 years, the sum of their ages will be 43. How old is Dev now?
- 29.Zoya’s father is twice as old as Zoya. The sum of their ages is 33 years. How old is Zoya?
- 30.Pooja’s father is twice as old as Pooja. The sum of their ages is 39 years. How old is Pooja?
- 31.Sneha’s father is three times as old as Sneha. The sum of their ages is 60 years. How old is the father?
- 32.4 years ago, Sneha’s mother was four times as old as Sneha. The mother is 44 years old now. How old is Sneha now?
- 33.8 years ago, Pooja’s mother was four times as old as Pooja. The mother is 40 years old now. How old is Pooja now?
- 34.Farhan is 8 years older than Kavya. In 7 years, the sum of their ages will be 70. How old is Kavya now?
- 35.In 7 years, Karan will be three times as old as Karan was 5 years ago. How old is Karan now?
- 36.Diya is 7 years older than Karan. In 10 years, the sum of their ages will be 69. How old is Karan now?
- 37.Isha’s father is twice as old as Isha. The sum of their ages is 18 years. How old is Isha?
- 38.2 years ago, Meera’s mother was four times as old as Meera. The mother is 42 years old now. How old is Meera now?
- 39.9 years ago, Rohan’s mother was three times as old as Rohan. The mother is 21 years old now. How old is Rohan now?
- 40.Priya is 5 years older than Pooja. In 6 years, the sum of their ages will be 35. How old is Pooja now?
Answer key
- 6
- 11
- 26
- 15
- 16
- 12
- 13
- 8
- 15
- 15
- 16
- 7
- 18
- 24
- 35
- 27
- 16
- 12
- 19
- 18
- 22
- 8
- 5
- 22
- 10
- 14
- 12
- 13
- 11
- 13
- 45
- 14
- 16
- 24
- 11
- 21
- 6
- 12
- 13
- 9
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