# Two numbers are in the ration 4:3.If they differ by 18,find these numbers?

Hence, the numbers are
$\left(x , y\right) \equiv \left(72 , 54\right)$

#### Explanation:

Let the two numbers be
$x \mathmr{and} y$
$x : y = 4 : 3$
$\frac{x}{y} = \frac{4}{3}$
$4 y = 3 x$
$y = \frac{3}{4} x$
$x - y = 18$
$x - \frac{3}{4} x = 18$
$\frac{1}{4} x = 18$
$x = 4 \times 18$
$x = 72$
$y = \frac{3}{4} \times 72$
$y = 54$

Hence, the numbers are
$\left(x , y\right) \equiv \left(72 , 54\right)$