Question

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

Answer 1

`x - y = 54.035`

Explanation:

We have the simultaneous equations:

`x:y = 56`

and

`x + y = 56`

The first equation can be rewritten as:

`(x)/(y) = 56`

This means

`x = 56y`

Put this last equation into the second equation;

`56y + y = 56`

`57y = 56`

`y = (56)/(57)`

`x = 56 * (56)/(57)`

`x = (3136)/(57)`

`x - y = (3136)/(57) - (56)/(57)`

This implies that:

`x - y = (3136 - 56)/(57)`

`x - y = (3080)/(57)`

`x - y = 54.035`