# Obtain a pair of linear equations in two variables from the following information:Father tells his son, "Five years ago, I was seven times as old as you were. After five years, I will be three times as old as you will be".

Let the present age of father = x

Let the present age of son = y

Now,

Given, Five years ago, father was seven times as old as son.

(x–5) = 7(y–5)

x – 5 = 7y – 35

= x – 7y + 30 = 0 …

Also, after five years, father will be three times as old as son

(x + 5) = 3(y + 5)

x + 5 = 3y + 15

= x – 3y – 10 = 0 …

eq and eq are required equations

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