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Question
Ajay is younger than Vijay by 3 years. The sum of their ages is 25 years, what is the age of Ajay
Solution
Let the ages of Ajay and Vijay be x years and y years respectively.
According to the first condition,
Ajay is younger than Vijay by 3 years.
∴ y – x = 3
i.e., – x + y = 3 .....(i)
According to the second condition,
Sum of their ages is 25.
∴ x + y = 25 .....(ii)
Subtracting equation (i) from (ii), we get
x + y = 25
− x + y = 3
+ − −
2x = 22
∴ x = `22/2` = 11
∴ Ajay’s age is 11 years.
Alternate Method:
Let the age of Ajay be x years.
Ajay is younger than Vijay by 3 years.
∴ Vijay’s age = x + 3
According to the given condition,
Sum of their ages is 25.
∴ x + x + 3 = 25
∴ 2x + 3 = 25
∴ 2x = 22
∴ x = `22/2` = 11
∴ Ajay’s age is 11 years.
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