MCQ
if $x - y = 2 $ and $\frac{2}{\text{x+y}} = \frac{1}{5}$ then :
  • A
    $x = 5, y = 3$
  • $x = 6, y = 4$
  • C
    $x = 4, y = 2$
  • D
    $x = 7, y = 5$

Answer

Correct option: B.
$x = 6, y = 4$
We have :
$x - y = 2 … (i)$
$x + y = 10 … (ii)$
Now, adding $(i)$ and $(ii)$ we get :
$2x = 12$
$\text{x}=\frac{12}{2}$
$x = 6$
Putting the value of $x$ in $(ii),$ we get
$6 + y = 10$
$y = 10 - 6$
$y = 4$

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