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.Isha’s father is five times as old as Isha. The sum of their ages is 66 years. How old is the father?
- 2.Saanvi’s father is twice as old as Saanvi. The sum of their ages is 21 years. How old is the father?
- 3.6 years ago, Aditya’s mother was twice as old as Aditya. The mother is 14 years old now. How old is Aditya now?
- 4.Tara is 6 years older than Vivaan. In 6 years, the sum of their ages will be 44. How old is Vivaan now?
- 5.Kavya is 10 years older than Manav. In 7 years, the sum of their ages will be 72. How old is Manav now?
- 6.Diya is 9 years older than Sneha. In 9 years, the sum of their ages will be 67. How old is Sneha now?
- 7.Sneha is 9 years older than Diya. In 3 years, the sum of their ages will be 63. How old is Diya now?
- 8.In 24 years, Priya will be twice as old as Priya was 3 years ago. How old is Priya now?
- 9.Ishaan’s father is four times as old as Ishaan. The sum of their ages is 60 years. How old is Ishaan?
- 10.5 years ago, Aditya’s mother was three times as old as Aditya. The mother is 35 years old now. How old is Aditya now?
- 11.10 years ago, Tara’s mother was three times as old as Tara. The mother is 37 years old now. How old is Tara now?
- 12.2 years ago, Rahul’s mother was three times as old as Rahul. The mother is 32 years old now. How old is Rahul now?
- 13.2 years ago, Arjun’s mother was twice as old as Arjun. The mother is 10 years old now. How old is Arjun now?
- 14.Vivaan is 10 years older than Manav. In 9 years, the sum of their ages will be 84. How old is Manav now?
- 15.Isha’s father is four times as old as Isha. The sum of their ages is 25 years. How old is the father?
- 16.Farhan is 4 years older than Priya. In 4 years, the sum of their ages will be 24. How old is Priya now?
- 17.Kavya is 5 years older than Isha. In 3 years, the sum of their ages will be 69. How old is Isha now?
- 18.Tara is 6 years older than Arjun. In 3 years, the sum of their ages will be 36. How old is Arjun now?
- 19.Ananya is 2 years older than Rohan. In 7 years, the sum of their ages will be 44. How old is Rohan now?
- 20.10 years ago, Aditya’s mother was four times as old as Aditya. The mother is 26 years old now. How old is Aditya now?
- 21.Kabir is 2 years older than Farhan. In 8 years, the sum of their ages will be 40. How old is Farhan now?
- 22.10 years ago, Priya’s mother was four times as old as Priya. The mother is 38 years old now. How old is Priya now?
- 23.In 16 years, Arjun will be three times as old as Arjun was 2 years ago. How old is Arjun now?
- 24.4 years ago, Nisha’s mother was three times as old as Nisha. The mother is 31 years old now. How old is Nisha now?
- 25.In 23 years, Kavya will be twice as old as Kavya was 4 years ago. How old is Kavya now?
- 26.Kabir is 2 years older than Diya. In 3 years, the sum of their ages will be 36. How old is Diya now?
- 27.Arjun’s father is four times as old as Arjun. The sum of their ages is 25 years. How old is the father?
- 28.Aarav is 4 years older than Tara. In 10 years, the sum of their ages will be 48. How old is Tara now?
- 29.Saanvi’s father is twice as old as Saanvi. The sum of their ages is 36 years. How old is Saanvi?
- 30.In 4 years, Saanvi will be twice as old as Saanvi was 5 years ago. How old is Saanvi now?
- 31.Nisha’s father is three times as old as Nisha. The sum of their ages is 44 years. How old is the father?
- 32.Aarav is 6 years older than Nisha. In 4 years, the sum of their ages will be 34. How old is Nisha now?
- 33.Vivaan is 8 years older than Manav. In 7 years, the sum of their ages will be 40. How old is Manav now?
- 34.Dev’s father is five times as old as Dev. The sum of their ages is 84 years. How old is Dev?
- 35.Vivaan’s father is three times as old as Vivaan. The sum of their ages is 24 years. How old is the father?
- 36.2 years ago, Vivaan’s mother was four times as old as Vivaan. The mother is 38 years old now. How old is Vivaan now?
- 37.2 years ago, Sneha’s mother was three times as old as Sneha. The mother is 14 years old now. How old is Sneha now?
- 38.7 years ago, Zoya’s mother was twice as old as Zoya. The mother is 13 years old now. How old is Zoya now?
- 39.In 8 years, Aditya will be twice as old as Aditya was 5 years ago. How old is Aditya now?
- 40.Kabir’s father is four times as old as Kabir. The sum of their ages is 35 years. How old is Kabir?
Answer key
- 55
- 14
- 10
- 13
- 24
- 20
- 24
- 30
- 12
- 15
- 19
- 12
- 6
- 28
- 20
- 6
- 29
- 12
- 14
- 14
- 11
- 17
- 11
- 13
- 31
- 14
- 20
- 12
- 12
- 14
- 33
- 10
- 9
- 14
- 18
- 11
- 6
- 10
- 18
- 7
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