Question

A man is five times as old as his son. After $2$ years the man will be four times as old as his son. What is the present age of the man?

• A. $35years$
• B. $30years$
• C. $6years$
• D. $31years$

Answer 1

The correct option is B $30years$

let the age of son be $x$ years and father age be $y$ years

then according to the question

$y=5x$ -equation1

and $y+2=4(x+2)$ -equation2

from eqaution 1 and equation 2

$5x+2=4x+8$

$x=6years$

Age of father $y=5x$=$5\times 6=30years$