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.Meera’s father is four times as old as Meera. The sum of their ages is 25 years. How old is the father?
- 2.Diya’s father is four times as old as Diya. The sum of their ages is 70 years. How old is Diya?
- 3.Zoya’s father is four times as old as Zoya. The sum of their ages is 60 years. How old is Zoya?
- 4.10 years ago, Aditya’s mother was twice as old as Aditya. The mother is 20 years old now. How old is Aditya now?
- 5.Zoya’s father is twice as old as Zoya. The sum of their ages is 15 years. How old is Zoya?
- 6.Manav is 4 years older than Karan. In 5 years, the sum of their ages will be 52. How old is Karan now?
- 7.In 5 years, Aarav will be twice as old as Aarav was 5 years ago. How old is Aarav now?
- 8.In 17 years, Vivaan will be twice as old as Vivaan was 5 years ago. How old is Vivaan now?
- 9.2 years ago, Diya’s mother was three times as old as Diya. The mother is 35 years old now. How old is Diya now?
- 10.Priya is 10 years older than Aarav. In 3 years, the sum of their ages will be 26. How old is Aarav now?
- 11.Diya is 5 years older than Arjun. In 10 years, the sum of their ages will be 41. How old is Arjun now?
- 12.Ishaan’s father is twice as old as Ishaan. The sum of their ages is 18 years. How old is the father?
- 13.Ananya is 5 years older than Kavya. In 4 years, the sum of their ages will be 37. How old is Kavya now?
- 14.7 years ago, Karan’s mother was twice as old as Karan. The mother is 31 years old now. How old is Karan now?
- 15.In 11 years, Priya will be twice as old as Priya was 5 years ago. How old is Priya now?
- 16.Arjun’s father is three times as old as Arjun. The sum of their ages is 32 years. How old is the father?
- 17.In 19 years, Sneha will be twice as old as Sneha was 5 years ago. How old is Sneha now?
- 18.Ananya’s father is four times as old as Ananya. The sum of their ages is 65 years. How old is the father?
- 19.Dev’s father is four times as old as Dev. The sum of their ages is 70 years. How old is Dev?
- 20.Priya is 2 years older than Manav. In 10 years, the sum of their ages will be 80. How old is Manav now?
- 21.In 28 years, Farhan will be twice as old as Farhan was 2 years ago. How old is Farhan now?
- 22.Diya is 10 years older than Pooja. In 10 years, the sum of their ages will be 62. How old is Pooja now?
- 23.3 years ago, Vivaan’s mother was twice as old as Vivaan. The mother is 17 years old now. How old is Vivaan now?
- 24.2 years ago, Kavya’s mother was four times as old as Kavya. The mother is 22 years old now. How old is Kavya now?
- 25.9 years ago, Farhan’s mother was three times as old as Farhan. The mother is 42 years old now. How old is Farhan now?
- 26.2 years ago, Ishaan’s mother was four times as old as Ishaan. The mother is 50 years old now. How old is Ishaan now?
- 27.Farhan’s father is three times as old as Farhan. The sum of their ages is 44 years. How old is the father?
- 28.In 8 years, Sneha will be three times as old as Sneha was 4 years ago. How old is Sneha now?
- 29.Farhan’s father is twice as old as Farhan. The sum of their ages is 15 years. How old is the father?
- 30.Rohan’s father is three times as old as Rohan. The sum of their ages is 28 years. How old is the father?
- 31.Dev’s father is five times as old as Dev. The sum of their ages is 78 years. How old is Dev?
- 32.5 years ago, Kabir’s mother was three times as old as Kabir. The mother is 17 years old now. How old is Kabir now?
- 33.Kavya’s father is three times as old as Kavya. The sum of their ages is 36 years. How old is Kavya?
- 34.Vivaan is 8 years older than Rohan. In 10 years, the sum of their ages will be 84. How old is Rohan now?
- 35.Sneha is 4 years older than Dev. In 3 years, the sum of their ages will be 60. How old is Dev now?
- 36.6 years ago, Manav’s mother was twice as old as Manav. The mother is 18 years old now. How old is Manav now?
- 37.Vivaan’s father is three times as old as Vivaan. The sum of their ages is 32 years. How old is Vivaan?
- 38.5 years ago, Manav’s mother was twice as old as Manav. The mother is 19 years old now. How old is Manav now?
- 39.Ananya’s father is five times as old as Ananya. The sum of their ages is 36 years. How old is Ananya?
- 40.4 years ago, Ananya’s mother was three times as old as Ananya. The mother is 37 years old now. How old is Ananya now?
Answer key
- 20
- 14
- 12
- 15
- 5
- 19
- 15
- 27
- 13
- 5
- 8
- 12
- 12
- 19
- 21
- 24
- 29
- 52
- 14
- 29
- 32
- 16
- 10
- 7
- 20
- 14
- 33
- 10
- 10
- 21
- 13
- 9
- 9
- 28
- 25
- 12
- 8
- 12
- 6
- 15
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