Question

a/b=3/4
a * b = 108
a = ?
b = ?

Answer 1

$\frac{a}{b} = \frac{3}{4}$

$a \times b = 108$
$\frac{a}{b} = \frac{3}{4} = k$

$a = 3k$
$b = 4k$

$a \times b = 3k \times 4k = 108$
$12 {k}^{2} = 108$

${k}^{2} = 9$

$k = 3$

$a = 3 \times k = 3 \times 3 = 9$
$b = 4 \times k = 4 \times 3 = 12$