Question

Solve the following:

$\frac{5y-4}{8}-\frac{y-3}{5}=\frac{y+6}{4}$

• A. $8$
• B. $2$
• C. $4$
• D. $6$

Answer 1

The correct option is A $8$

Given, $\frac{5y-4}{8}-\frac{y-3}{5}=\frac{y+6}{4}$

L.C.M. of $8,5,4$ is $40$

Therefore, $5(5y-4)-8(y-3)=10(y+6)$

$\Rightarrow 25y-20-8y+24=10y+60$

$\Rightarrow 17y+4=10y+60$

$\Rightarrow 17y-10y=60-4$

$\Rightarrow 7y=56$

$\Rightarrow y=8$