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.Tara’s father is twice as old as Tara. The sum of their ages is 45 years. How old is Tara?
- 2.Dev’s father is three times as old as Dev. The sum of their ages is 48 years. How old is Dev?
- 3.Kavya is 2 years older than Rahul. In 8 years, the sum of their ages will be 58. How old is Rahul now?
- 4.Aarav is 5 years older than Ananya. In 10 years, the sum of their ages will be 49. How old is Ananya now?
- 5.7 years ago, Karan’s mother was four times as old as Karan. The mother is 27 years old now. How old is Karan now?
- 6.In 19 years, Saanvi will be twice as old as Saanvi was 3 years ago. How old is Saanvi now?
- 7.Meera’s father is twice as old as Meera. The sum of their ages is 18 years. How old is Meera?
- 8.Aditya’s father is twice as old as Aditya. The sum of their ages is 39 years. How old is Aditya?
- 9.Pooja is 8 years older than Vivaan. In 5 years, the sum of their ages will be 42. How old is Vivaan now?
- 10.Vivaan is 3 years older than Rahul. In 2 years, the sum of their ages will be 25. How old is Rahul now?
- 11.3 years ago, Vivaan’s mother was twice as old as Vivaan. The mother is 11 years old now. How old is Vivaan now?
- 12.9 years ago, Nisha’s mother was four times as old as Nisha. The mother is 29 years old now. How old is Nisha now?
- 13.Aditya’s father is five times as old as Aditya. The sum of their ages is 36 years. How old is the father?
- 14.In 19 years, Farhan will be twice as old as Farhan was 3 years ago. How old is Farhan now?
- 15.In 11 years, Aarav will be three times as old as Aarav was 3 years ago. How old is Aarav now?
- 16.Saanvi’s father is five times as old as Saanvi. The sum of their ages is 90 years. How old is Saanvi?
- 17.Isha is 3 years older than Rahul. In 8 years, the sum of their ages will be 29. How old is Rahul now?
- 18.In 4 years, Saanvi will be twice as old as Saanvi was 2 years ago. How old is Saanvi now?
- 19.In 24 years, Tara will be three times as old as Tara was 4 years ago. How old is Tara now?
- 20.Zoya is 5 years older than Nisha. In 7 years, the sum of their ages will be 55. How old is Nisha now?
- 21.9 years ago, Karan’s mother was three times as old as Karan. The mother is 42 years old now. How old is Karan now?
- 22.Kabir’s father is three times as old as Kabir. The sum of their ages is 24 years. How old is the father?
- 23.Diya’s father is five times as old as Diya. The sum of their ages is 42 years. How old is Diya?
- 24.Kabir’s father is twice as old as Kabir. The sum of their ages is 45 years. How old is Kabir?
- 25.In 23 years, Manav will be twice as old as Manav was 6 years ago. How old is Manav now?
- 26.Rahul is 7 years older than Ananya. In 4 years, the sum of their ages will be 67. How old is Ananya now?
- 27.6 years ago, Saanvi’s mother was twice as old as Saanvi. The mother is 24 years old now. How old is Saanvi now?
- 28.Nisha is 2 years older than Tara. In 10 years, the sum of their ages will be 52. How old is Tara now?
- 29.In 19 years, Ishaan will be twice as old as Ishaan was 5 years ago. How old is Ishaan now?
- 30.Rahul’s father is twice as old as Rahul. The sum of their ages is 15 years. How old is Rahul?
- 31.Diya is 9 years older than Arjun. In 9 years, the sum of their ages will be 51. How old is Arjun now?
- 32.8 years ago, Nisha’s mother was twice as old as Nisha. The mother is 14 years old now. How old is Nisha now?
- 33.Diya is 9 years older than Isha. In 5 years, the sum of their ages will be 53. How old is Isha now?
- 34.In 1 years, Karan will be twice as old as Karan was 5 years ago. How old is Karan now?
- 35.9 years ago, Arjun’s mother was four times as old as Arjun. The mother is 53 years old now. How old is Arjun now?
- 36.Vivaan’s father is three times as old as Vivaan. The sum of their ages is 56 years. How old is the father?
- 37.Rahul’s father is twice as old as Rahul. The sum of their ages is 42 years. How old is Rahul?
- 38.Arjun’s father is three times as old as Arjun. The sum of their ages is 48 years. How old is Arjun?
- 39.Tara’s father is three times as old as Tara. The sum of their ages is 44 years. How old is the father?
- 40.Diya is 7 years older than Manav. In 10 years, the sum of their ages will be 41. How old is Manav now?
Answer key
- 15
- 12
- 20
- 12
- 12
- 25
- 6
- 13
- 12
- 9
- 7
- 14
- 30
- 25
- 10
- 15
- 5
- 8
- 18
- 18
- 20
- 18
- 7
- 15
- 35
- 26
- 15
- 15
- 29
- 5
- 12
- 11
- 17
- 11
- 20
- 42
- 14
- 12
- 33
- 7
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