Question

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

Answer 1

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`

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`2x=398`

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`x=(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`