Question

The sum of two numbers is 357 and the difference is 41

Answer 1

Answer:

x=199 and y=158

Step-by-step

Let x and y be two numbers

Given that the sum of the two numbers is 357, it may be written as

$x+y=357\hfill (1)$

difference of the two numbers is 41, it may be written as

$x-y=41\hfill (2)$

Now adding (1) and (2), we get

$x+y=357$

$x-y=41$

_______________________________________

$2x=398$

_______________________________________

$x=\frac{398}{2}$                      (Where y is in alternative signs so it may be cancelled)

Therefore

$x=199$

now substituting x=199 in (1) we get

$199+y=357$

$y=357-199$

Therefore

$y=158$