Question

Solve : $\frac{x+4}{7}-\frac{x-17}{2}=\frac{x+13}{2}$

• A. $-10$
• B. $3$
• C. $12$
• D. $5$

Answer 1

The correct option is B $3$

Given, $\frac{x+4}{7}-\frac{x-17}{2}=\frac{x+13}{2}$

L.C.M. of $7,2,2$ is $14$.

$2(x+4)-7(x-17)=7(x+13)$ [Multiplying both sides by 14]

$\therefore 2x+8-7x+119=7x+91$

$\therefore -5x+127=7x+91$

$\therefore 127-91=7x+5x$

$\therefore 36=12x$

$\therefore$ $x=3$