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.Aarav’s father is three times as old as Aarav. The sum of their ages is 36 years. How old is the father?
- 2.Arjun is 6 years older than Rohan. In 8 years, the sum of their ages will be 50. How old is Rohan now?
- 3.Vivaan’s father is three times as old as Vivaan. The sum of their ages is 52 years. How old is Vivaan?
- 4.8 years ago, Rahul’s mother was four times as old as Rahul. The mother is 44 years old now. How old is Rahul now?
- 5.Dev’s father is twice as old as Dev. The sum of their ages is 33 years. How old is Dev?
- 6.3 years ago, Isha’s mother was three times as old as Isha. The mother is 24 years old now. How old is Isha now?
- 7.In 14 years, Vivaan will be twice as old as Vivaan was 2 years ago. How old is Vivaan now?
- 8.Manav is 2 years older than Priya. In 10 years, the sum of their ages will be 52. How old is Priya now?
- 9.Rahul’s father is five times as old as Rahul. The sum of their ages is 90 years. How old is the father?
- 10.Ishaan’s father is three times as old as Ishaan. The sum of their ages is 28 years. How old is Ishaan?
- 11.Rohan is 7 years older than Vivaan. In 10 years, the sum of their ages will be 63. How old is Vivaan now?
- 12.8 years ago, Aarav’s mother was four times as old as Aarav. The mother is 24 years old now. How old is Aarav now?
- 13.Ananya’s father is twice as old as Ananya. The sum of their ages is 33 years. How old is Ananya?
- 14.In 19 years, Rahul will be twice as old as Rahul was 2 years ago. How old is Rahul now?
- 15.Kavya is 2 years older than Vivaan. In 9 years, the sum of their ages will be 72. How old is Vivaan now?
- 16.Manav’s father is five times as old as Manav. The sum of their ages is 54 years. How old is the father?
- 17.Kabir’s father is three times as old as Kabir. The sum of their ages is 28 years. How old is the father?
- 18.Nisha is 3 years older than Pooja. In 10 years, the sum of their ages will be 47. How old is Pooja now?
- 19.9 years ago, Ananya’s mother was four times as old as Ananya. The mother is 29 years old now. How old is Ananya now?
- 20.10 years ago, Nisha’s mother was twice as old as Nisha. The mother is 32 years old now. How old is Nisha now?
- 21.Vivaan’s father is three times as old as Vivaan. The sum of their ages is 48 years. How old is Vivaan?
- 22.4 years ago, Nisha’s mother was twice as old as Nisha. The mother is 20 years old now. How old is Nisha now?
- 23.5 years ago, Arjun’s mother was three times as old as Arjun. The mother is 29 years old now. How old is Arjun now?
- 24.Aditya is 9 years older than Meera. In 8 years, the sum of their ages will be 77. How old is Meera now?
- 25.Manav’s father is twice as old as Manav. The sum of their ages is 18 years. How old is Manav?
- 26.Priya’s father is twice as old as Priya. The sum of their ages is 39 years. How old is Priya?
- 27.6 years ago, Ananya’s mother was twice as old as Ananya. The mother is 28 years old now. How old is Ananya now?
- 28.Ananya is 9 years older than Isha. In 2 years, the sum of their ages will be 45. How old is Isha now?
- 29.In 5 years, Saanvi will be twice as old as Saanvi was 2 years ago. How old is Saanvi now?
- 30.Pooja’s father is twice as old as Pooja. The sum of their ages is 30 years. How old is the father?
- 31.5 years ago, Diya’s mother was three times as old as Diya. The mother is 26 years old now. How old is Diya now?
- 32.3 years ago, Manav’s mother was three times as old as Manav. The mother is 33 years old now. How old is Manav now?
- 33.2 years ago, Isha’s mother was twice as old as Isha. The mother is 20 years old now. How old is Isha now?
- 34.Diya’s father is four times as old as Diya. The sum of their ages is 70 years. How old is Diya?
- 35.In 9 years, Ishaan will be twice as old as Ishaan was 5 years ago. How old is Ishaan now?
- 36.Aditya’s father is three times as old as Aditya. The sum of their ages is 60 years. How old is the father?
- 37.Sneha is 2 years older than Tara. In 9 years, the sum of their ages will be 54. How old is Tara now?
- 38.Nisha’s father is four times as old as Nisha. The sum of their ages is 65 years. How old is Nisha?
- 39.Ananya’s father is four times as old as Ananya. The sum of their ages is 45 years. How old is Ananya?
- 40.Arjun is 5 years older than Manav. In 3 years, the sum of their ages will be 53. How old is Manav now?
Answer key
- 27
- 14
- 13
- 17
- 11
- 10
- 18
- 15
- 75
- 7
- 18
- 12
- 11
- 23
- 26
- 45
- 21
- 12
- 14
- 21
- 12
- 12
- 13
- 26
- 6
- 13
- 17
- 16
- 9
- 20
- 12
- 13
- 11
- 14
- 19
- 45
- 17
- 13
- 9
- 21
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