Question

If $a:b=5:3$, that will be the value of $\frac{5a-3b}{5a+3b}$

• A. $3:5$
• B. $10:11$
• C. $8:17$
• D. $5:17$

Answer 1

The correct option is C $8:17$

Let $a:b=5:3$
$\Rightarrow$ if $a=5x$, then $b=3x;$
and $\frac{5\times 5x-3\times 3x}{5\times 5x+3\times 3x}$
$=\frac{25x-9x}{25x+9x}$
$=\frac{16x}{34x}$
$=8:17$