Question

If $3Y+9X=54$ and $\frac{28X}{13Y}=\frac{140}{39}$, then what is the value of $Y-X$?

• A. - 1
• B. - 2
• C. 2
• D. 1
• E. None of the above

Answer 1

The correct option is B - 2

$3Y+9X=54$ ... (1)
$\frac{28X}{13Y}=\frac{140}{39}$
$1820Y-1092X=0$ ... (2)
From Equation (1) and (2),
$X=5,Y=3$
$\therefore Y-X=3-5=-2$