Answer :
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
[tex]x+y=357\hfill (1)[/tex]
difference of the two numbers is 41, it may be written as
[tex]x-y=41\hfill (2)[/tex]
Now adding (1) and (2), we get
[tex]x+y=357[/tex]
[tex]x-y=41[/tex]
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[tex]2x=398[/tex]
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[tex]x=\frac{398}{2}[/tex] (Where y is in alternative signs so it may be cancelled)
Therefore
[tex]x=199[/tex]
now substituting x=199 in (1) we get
[tex]199+y=357[/tex]
[tex]y=357-199[/tex]
Therefore
[tex]y=158[/tex]