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.Ananya’s father is three times as old as Ananya. The sum of their ages is 52 years. How old is the father?
- 2.2 years ago, Zoya’s mother was twice as old as Zoya. The mother is 10 years old now. How old is Zoya now?
- 3.In 17 years, Arjun will be three times as old as Arjun was 3 years ago. How old is Arjun now?
- 4.Rohan’s father is five times as old as Rohan. The sum of their ages is 66 years. How old is the father?
- 5.Kabir’s father is four times as old as Kabir. The sum of their ages is 30 years. How old is the father?
- 6.5 years ago, Ananya’s mother was four times as old as Ananya. The mother is 49 years old now. How old is Ananya now?
- 7.In 14 years, Arjun will be three times as old as Arjun was 6 years ago. How old is Arjun now?
- 8.In 2 years, Farhan will be twice as old as Farhan was 6 years ago. How old is Farhan now?
- 9.Zoya is 5 years older than Pooja. In 6 years, the sum of their ages will be 49. How old is Pooja now?
- 10.Saanvi is 4 years older than Ishaan. In 9 years, the sum of their ages will be 42. How old is Ishaan now?
- 11.Sneha’s father is three times as old as Sneha. The sum of their ages is 40 years. How old is Sneha?
- 12.In 8 years, Aditya will be three times as old as Aditya was 6 years ago. How old is Aditya now?
- 13.Nisha is 8 years older than Aditya. In 4 years, the sum of their ages will be 72. How old is Aditya now?
- 14.Nisha’s father is three times as old as Nisha. The sum of their ages is 52 years. How old is Nisha?
- 15.In 18 years, Kavya will be twice as old as Kavya was 4 years ago. How old is Kavya now?
- 16.5 years ago, Ishaan’s mother was twice as old as Ishaan. The mother is 29 years old now. How old is Ishaan now?
- 17.In 25 years, Rohan will be twice as old as Rohan was 2 years ago. How old is Rohan now?
- 18.Ananya is 8 years older than Priya. In 9 years, the sum of their ages will be 86. How old is Priya now?
- 19.Priya’s father is three times as old as Priya. The sum of their ages is 24 years. How old is Priya?
- 20.Ananya’s father is five times as old as Ananya. The sum of their ages is 60 years. How old is Ananya?
- 21.Priya’s father is twice as old as Priya. The sum of their ages is 27 years. How old is Priya?
- 22.Sneha is 3 years older than Rohan. In 10 years, the sum of their ages will be 41. How old is Rohan now?
- 23.Manav is 9 years older than Sneha. In 9 years, the sum of their ages will be 57. How old is Sneha now?
- 24.In 3 years, Rahul will be twice as old as Rahul was 6 years ago. How old is Rahul now?
- 25.Ishaan is 3 years older than Vivaan. In 3 years, the sum of their ages will be 21. How old is Vivaan now?
- 26.Meera’s father is three times as old as Meera. The sum of their ages is 48 years. How old is the father?
- 27.4 years ago, Aarav’s mother was four times as old as Aarav. The mother is 44 years old now. How old is Aarav now?
- 28.4 years ago, Manav’s mother was three times as old as Manav. The mother is 28 years old now. How old is Manav now?
- 29.Kabir’s father is five times as old as Kabir. The sum of their ages is 90 years. How old is Kabir?
- 30.Diya is 5 years older than Karan. In 3 years, the sum of their ages will be 67. How old is Karan now?
- 31.In 28 years, Isha will be three times as old as Isha was 2 years ago. How old is Isha now?
- 32.Manav is 8 years older than Rohan. In 7 years, the sum of their ages will be 56. How old is Rohan now?
- 33.In 20 years, Manav will be twice as old as Manav was 3 years ago. How old is Manav now?
- 34.2 years ago, Arjun’s mother was twice as old as Arjun. The mother is 26 years old now. How old is Arjun now?
- 35.Aarav is 2 years older than Kabir. In 9 years, the sum of their ages will be 46. How old is Kabir now?
- 36.Diya’s father is five times as old as Diya. The sum of their ages is 90 years. How old is the father?
- 37.In 2 years, Karan will be three times as old as Karan was 6 years ago. How old is Karan now?
- 38.In 6 years, Pooja will be twice as old as Pooja was 5 years ago. How old is Pooja now?
- 39.Rohan is 2 years older than Aditya. In 4 years, the sum of their ages will be 44. How old is Aditya now?
- 40.3 years ago, Farhan’s mother was three times as old as Farhan. The mother is 30 years old now. How old is Farhan now?
Answer key
- 39
- 6
- 13
- 55
- 24
- 16
- 16
- 14
- 16
- 10
- 10
- 13
- 28
- 13
- 26
- 17
- 29
- 30
- 6
- 10
- 9
- 9
- 15
- 15
- 6
- 36
- 14
- 12
- 15
- 28
- 17
- 17
- 26
- 14
- 13
- 75
- 10
- 16
- 17
- 12
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