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.Rohan is 5 years older than Diya. In 3 years, the sum of their ages will be 65. How old is Diya now?
- 2.Ishaan is 10 years older than Ananya. In 6 years, the sum of their ages will be 60. How old is Ananya now?
- 3.Aarav’s father is three times as old as Aarav. The sum of their ages is 36 years. How old is Aarav?
- 4.In 20 years, Zoya will be three times as old as Zoya was 6 years ago. How old is Zoya now?
- 5.Aditya’s father is four times as old as Aditya. The sum of their ages is 55 years. How old is Aditya?
- 6.Ananya’s father is three times as old as Ananya. The sum of their ages is 44 years. How old is Ananya?
- 7.Manav’s father is four times as old as Manav. The sum of their ages is 30 years. How old is the father?
- 8.In 15 years, Aarav will be three times as old as Aarav was 3 years ago. How old is Aarav now?
- 9.Meera is 2 years older than Karan. In 3 years, the sum of their ages will be 22. How old is Karan now?
- 10.Tara is 9 years older than Isha. In 4 years, the sum of their ages will be 37. How old is Isha now?
- 11.Dev is 5 years older than Nisha. In 7 years, the sum of their ages will be 31. How old is Nisha now?
- 12.In 11 years, Vivaan will be three times as old as Vivaan was 3 years ago. How old is Vivaan now?
- 13.Meera’s father is four times as old as Meera. The sum of their ages is 30 years. How old is the father?
- 14.Arjun’s father is three times as old as Arjun. The sum of their ages is 60 years. How old is Arjun?
- 15.Ananya’s father is twice as old as Ananya. The sum of their ages is 27 years. How old is the father?
- 16.Kabir is 6 years older than Meera. In 10 years, the sum of their ages will be 76. How old is Meera now?
- 17.Diya is 2 years older than Zoya. In 4 years, the sum of their ages will be 32. How old is Zoya now?
- 18.In 8 years, Rohan will be twice as old as Rohan was 3 years ago. How old is Rohan now?
- 19.Manav is 2 years older than Kavya. In 5 years, the sum of their ages will be 50. How old is Kavya now?
- 20.Rohan’s father is four times as old as Rohan. The sum of their ages is 55 years. How old is the father?
- 21.Meera’s father is twice as old as Meera. The sum of their ages is 27 years. How old is Meera?
- 22.6 years ago, Rohan’s mother was twice as old as Rohan. The mother is 22 years old now. How old is Rohan now?
- 23.In 25 years, Karan will be three times as old as Karan was 3 years ago. How old is Karan now?
- 24.Tara is 9 years older than Ananya. In 6 years, the sum of their ages will be 79. How old is Ananya now?
- 25.In 20 years, Tara will be twice as old as Tara was 4 years ago. How old is Tara now?
- 26.Meera is 4 years older than Kavya. In 7 years, the sum of their ages will be 78. How old is Kavya now?
- 27.In 5 years, Ishaan will be twice as old as Ishaan was 6 years ago. How old is Ishaan now?
- 28.Rahul is 9 years older than Aditya. In 3 years, the sum of their ages will be 47. How old is Aditya now?
- 29.Dev’s father is four times as old as Dev. The sum of their ages is 65 years. How old is Dev?
- 30.In 4 years, Tara will be twice as old as Tara was 6 years ago. How old is Tara now?
- 31.2 years ago, Ishaan’s mother was four times as old as Ishaan. The mother is 30 years old now. How old is Ishaan now?
- 32.Ananya’s father is four times as old as Ananya. The sum of their ages is 55 years. How old is the father?
- 33.In 23 years, Sneha will be twice as old as Sneha was 6 years ago. How old is Sneha now?
- 34.Zoya’s father is twice as old as Zoya. The sum of their ages is 18 years. How old is Zoya?
- 35.5 years ago, Ananya’s mother was twice as old as Ananya. The mother is 27 years old now. How old is Ananya now?
- 36.In 9 years, Arjun will be twice as old as Arjun was 6 years ago. How old is Arjun now?
- 37.Priya is 2 years older than Meera. In 4 years, the sum of their ages will be 68. How old is Meera now?
- 38.10 years ago, Karan’s mother was four times as old as Karan. The mother is 46 years old now. How old is Karan now?
- 39.7 years ago, Aditya’s mother was three times as old as Aditya. The mother is 16 years old now. How old is Aditya now?
- 40.2 years ago, Rahul’s mother was three times as old as Rahul. The mother is 29 years old now. How old is Rahul now?
Answer key
- 27
- 19
- 9
- 19
- 11
- 11
- 24
- 12
- 7
- 10
- 6
- 10
- 24
- 15
- 18
- 25
- 11
- 14
- 19
- 44
- 9
- 14
- 17
- 29
- 28
- 30
- 17
- 16
- 13
- 16
- 9
- 44
- 35
- 6
- 16
- 21
- 29
- 19
- 10
- 11
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