Question

Five year hence a man's age will be three times his son's age .Write a linear equation in two variable to represent this statement.

• A. $x-3y=10$
• B. $x-3y=12$
• C. $x+3y=12$
• D. $x+3y=10$

Answer 1

The correct option is A

$x-3y=10$

Explanation for the correct option:

Framing the linear equation for the given statement:

Let the present age of man be $x$ years

and the present age of son be $y$ years

Five years hence,

The age of man be $x+5$ years

The age of son be $y+5$ years

According to the statement five year hence a man's age will be three times his son's age

$$\begin{gathered} \Rightarrow x+5=3\left(y+5\right) \\ \Rightarrow =3y+15 \\ \Rightarrow x-3y=15-5 \\ \Rightarrow x-3y=10 \end{gathered}$$

Hence the correct answer is option A..