Answer
$x=650,y=50$
Work Step by Step
As per the statement: $x+y=4200/6$ and $x-y=4200/7$
After adding the given two equations, we get
$2x=700+600 \implies 2x=1300$
or, $x=650$
Now, $650+y=4200/6 \implies y=50$
Thus, $x=650,y=50$
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