Question

Express the given information in mathematical form using two variables :

Two years hence, the father's age will be twice the son's age.

• A. $x-y=2$
• B. $x-2y=2$
• C. $x-4y=7$
• D. $x-y=9$

Answer 1

Answer: (B)

$x-2y=2$

Currently, if father's age is $x$ and son's age is $y$,
then after $2$ years, their ages will be $x+2$ and $y+2$
Given,
$x+2=2(y+2)$

$⟹x+2=2y+4$

$⟹x-2y=2$