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.In 17 years, Karan will be twice as old as Karan was 6 years ago. How old is Karan now?
- 2.10 years ago, Kavya’s mother was three times as old as Kavya. The mother is 25 years old now. How old is Kavya now?
- 3.Saanvi is 3 years older than Diya. In 8 years, the sum of their ages will be 69. How old is Diya now?
- 4.In 10 years, Aarav will be twice as old as Aarav was 6 years ago. How old is Aarav now?
- 5.10 years ago, Saanvi’s mother was three times as old as Saanvi. The mother is 31 years old now. How old is Saanvi now?
- 6.Dev’s father is three times as old as Dev. The sum of their ages is 32 years. How old is the father?
- 7.Tara is 7 years older than Arjun. In 5 years, the sum of their ages will be 35. How old is Arjun now?
- 8.Aditya is 7 years older than Sneha. In 3 years, the sum of their ages will be 39. How old is Sneha now?
- 9.3 years ago, Priya’s mother was three times as old as Priya. The mother is 18 years old now. How old is Priya now?
- 10.Ananya’s father is four times as old as Ananya. The sum of their ages is 30 years. How old is Ananya?
- 11.Vivaan is 7 years older than Tara. In 2 years, the sum of their ages will be 61. How old is Tara now?
- 12.Nisha’s father is four times as old as Nisha. The sum of their ages is 35 years. How old is Nisha?
- 13.6 years ago, Kavya’s mother was twice as old as Kavya. The mother is 30 years old now. How old is Kavya now?
- 14.2 years ago, Nisha’s mother was twice as old as Nisha. The mother is 14 years old now. How old is Nisha now?
- 15.Diya’s father is four times as old as Diya. The sum of their ages is 50 years. How old is the father?
- 16.7 years ago, Diya’s mother was twice as old as Diya. The mother is 29 years old now. How old is Diya now?
- 17.In 29 years, Rohan will be twice as old as Rohan was 5 years ago. How old is Rohan now?
- 18.10 years ago, Aarav’s mother was twice as old as Aarav. The mother is 22 years old now. How old is Aarav now?
- 19.In 14 years, Farhan will be twice as old as Farhan was 2 years ago. How old is Farhan now?
- 20.In 15 years, Sneha will be twice as old as Sneha was 6 years ago. How old is Sneha now?
- 21.Kabir’s father is five times as old as Kabir. The sum of their ages is 30 years. How old is the father?
- 22.Karan’s father is four times as old as Karan. The sum of their ages is 35 years. How old is the father?
- 23.8 years ago, Rohan’s mother was four times as old as Rohan. The mother is 36 years old now. How old is Rohan now?
- 24.10 years ago, Ishaan’s mother was four times as old as Ishaan. The mother is 50 years old now. How old is Ishaan now?
- 25.Ishaan’s father is four times as old as Ishaan. The sum of their ages is 30 years. How old is the father?
- 26.In 16 years, Ishaan will be twice as old as Ishaan was 6 years ago. How old is Ishaan now?
- 27.8 years ago, Arjun’s mother was three times as old as Arjun. The mother is 23 years old now. How old is Arjun now?
- 28.In 8 years, Ishaan will be twice as old as Ishaan was 5 years ago. How old is Ishaan now?
- 29.In 17 years, Rahul will be three times as old as Rahul was 3 years ago. How old is Rahul now?
- 30.Ananya is 9 years older than Manav. In 3 years, the sum of their ages will be 29. How old is Manav now?
- 31.Saanvi’s father is four times as old as Saanvi. The sum of their ages is 60 years. How old is Saanvi?
- 32.In 28 years, Arjun will be three times as old as Arjun was 6 years ago. How old is Arjun now?
- 33.Dev is 10 years older than Diya. In 5 years, the sum of their ages will be 52. How old is Diya now?
- 34.Aditya is 5 years older than Ananya. In 5 years, the sum of their ages will be 29. How old is Ananya now?
- 35.In 10 years, Kabir will be twice as old as Kabir was 6 years ago. How old is Kabir now?
- 36.Diya’s father is three times as old as Diya. The sum of their ages is 36 years. How old is the father?
- 37.Ananya’s father is twice as old as Ananya. The sum of their ages is 36 years. How old is Ananya?
- 38.Saanvi’s father is twice as old as Saanvi. The sum of their ages is 36 years. How old is Saanvi?
- 39.Manav’s father is four times as old as Manav. The sum of their ages is 55 years. How old is the father?
- 40.Vivaan’s father is four times as old as Vivaan. The sum of their ages is 75 years. How old is Vivaan?
Answer key
- 29
- 15
- 25
- 22
- 17
- 24
- 9
- 13
- 8
- 6
- 25
- 7
- 18
- 8
- 40
- 18
- 39
- 16
- 18
- 27
- 25
- 28
- 15
- 20
- 24
- 28
- 13
- 18
- 13
- 7
- 12
- 23
- 16
- 7
- 22
- 27
- 12
- 12
- 44
- 15
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