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
- 1.4 years ago, Diya’s mother was three times as old as Diya. The mother is 28 years old now. How old is Diya now?
- 2.3 years ago, Diya’s mother was three times as old as Diya. The mother is 21 years old now. How old is Diya now?
- 3.7 years ago, Rohan’s mother was four times as old as Rohan. The mother is 47 years old now. How old is Rohan now?
- 4.3 years ago, Farhan’s mother was four times as old as Farhan. The mother is 15 years old now. How old is Farhan now?
- 5.In 6 years, Kabir will be three times as old as Kabir was 6 years ago. How old is Kabir now?
- 6.Saanvi’s father is four times as old as Saanvi. The sum of their ages is 65 years. How old is Saanvi?
- 7.Zoya is 8 years older than Priya. In 5 years, the sum of their ages will be 68. How old is Priya now?
- 8.Ananya is 2 years older than Aarav. In 5 years, the sum of their ages will be 46. How old is Aarav now?
- 9.Farhan’s father is twice as old as Farhan. The sum of their ages is 45 years. How old is the father?
- 10.Aditya is 7 years older than Vivaan. In 10 years, the sum of their ages will be 83. How old is Vivaan now?
- 11.Zoya is 6 years older than Saanvi. In 2 years, the sum of their ages will be 44. How old is Saanvi now?
- 12.Nisha is 7 years older than Karan. In 3 years, the sum of their ages will be 47. How old is Karan now?
- 13.Arjun’s father is twice as old as Arjun. The sum of their ages is 39 years. How old is Arjun?
- 14.Kavya’s father is four times as old as Kavya. The sum of their ages is 45 years. How old is the father?
- 15.Nisha’s father is three times as old as Nisha. The sum of their ages is 28 years. How old is Nisha?
- 16.5 years ago, Karan’s mother was twice as old as Karan. The mother is 25 years old now. How old is Karan now?
- 17.In 2 years, Sneha will be twice as old as Sneha was 3 years ago. How old is Sneha now?
- 18.Kabir’s father is twice as old as Kabir. The sum of their ages is 27 years. How old is Kabir?
- 19.In 4 years, Diya will be twice as old as Diya was 4 years ago. How old is Diya now?
- 20.Ishaan’s father is four times as old as Ishaan. The sum of their ages is 50 years. How old is Ishaan?
- 21.3 years ago, Ananya’s mother was three times as old as Ananya. The mother is 36 years old now. How old is Ananya now?
- 22.Nisha’s father is twice as old as Nisha. The sum of their ages is 45 years. How old is Nisha?
- 23.Priya’s father is five times as old as Priya. The sum of their ages is 60 years. How old is the father?
- 24.Farhan’s father is three times as old as Farhan. The sum of their ages is 60 years. How old is Farhan?
- 25.Kavya’s father is three times as old as Kavya. The sum of their ages is 48 years. How old is Kavya?
- 26.Kabir’s father is twice as old as Kabir. The sum of their ages is 18 years. How old is Kabir?
- 27.Pooja’s father is three times as old as Pooja. The sum of their ages is 44 years. How old is the father?
- 28.5 years ago, Vivaan’s mother was four times as old as Vivaan. The mother is 37 years old now. How old is Vivaan now?
- 29.Aarav is 4 years older than Arjun. In 3 years, the sum of their ages will be 60. How old is Arjun now?
- 30.In 8 years, Kavya will be three times as old as Kavya was 4 years ago. How old is Kavya now?
- 31.Karan’s father is three times as old as Karan. The sum of their ages is 44 years. How old is Karan?
- 32.Arjun is 7 years older than Ananya. In 2 years, the sum of their ages will be 61. How old is Ananya now?
- 33.Diya’s father is twice as old as Diya. The sum of their ages is 39 years. How old is the father?
- 34.In 6 years, Dev will be twice as old as Dev was 2 years ago. How old is Dev now?
- 35.In 21 years, Zoya will be twice as old as Zoya was 3 years ago. How old is Zoya now?
- 36.In 15 years, Rohan will be twice as old as Rohan was 3 years ago. How old is Rohan now?
- 37.In 10 years, Rahul will be twice as old as Rahul was 6 years ago. How old is Rahul now?
- 38.In 1 years, Arjun will be twice as old as Arjun was 5 years ago. How old is Arjun now?
- 39.Arjun’s father is twice as old as Arjun. The sum of their ages is 42 years. How old is Arjun?
- 40.Rohan’s father is five times as old as Rohan. The sum of their ages is 60 years. How old is Rohan?
Answer key
- 12
- 9
- 17
- 6
- 12
- 13
- 25
- 17
- 30
- 28
- 17
- 17
- 13
- 36
- 7
- 15
- 8
- 9
- 12
- 10
- 14
- 15
- 50
- 15
- 12
- 6
- 33
- 13
- 25
- 10
- 11
- 25
- 26
- 10
- 27
- 21
- 22
- 11
- 14
- 10
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