Question

x:y=56 and x+y= 56
work out x-y

Answer 1

Answer:

$x - y = 54.035$

Step-by-step explanation:

We have the simultaneous equations:

$x:y = 56$

and

$x + y = 56$

The first equation can be rewritten as:

$\frac{x}{y} = 56$

This means

$x = 56y$

Put this last equation into the second equation;

$56y + y = 56$

$57y = 56$

$y = \frac{56}{57}$

$x = 56 \times \frac{56}{57}$

$x = \frac{3136}{57}$

$x - y = \frac{3136}{57} - \frac{56}{57}$

This implies that:

$x - y = \frac{3136 - 56}{57}$

$x - y = \frac{3080}{57}$

$x - y = 54.035$