Question

$if \: \frac{2}{x} = \frac{8}{12} then \: find \: the \: value \: of \: \frac{x + 5}{4}$
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Answer 1

$\frac{2}{x} = \frac{8}{12} \\ 8x = 24 \\ x = 3$

$\frac{x + 5}{4} \\ \frac{ 3 + 5}{4} \\ \frac{8}{4} = 2$

Answer 2

Given,

$\frac{2}{x} = \frac{8}{12}$

then find the value of

$\frac{x + 5}{4}$

By cross multiplication,

$\frac{2}{x} = \frac{8}{12}$

$2 \times 12 = 8 \times x$

$24 = 8x$

$x = \frac{24}{8}$

$x = 3$

Now, substitute the value of x in

$\frac{x + 5}{4}$

$\frac{3 + 5}{4}$

$\frac{8}{4}$

$2$

$therefore \: the \: value \: \frac{x + 5}{4} \: is \: 2.$