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Pair of Linear Equations in Two variables — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsPair of Linear Equations in Two variables1 Mark
MCQ
If $x - y = 2$ and $\frac{2}{\text{x+y}}=\frac{1}{5}$ then :
  • A
    $x = 4, y = 2$
  • B
    $x = 5, y = 3$
  • ✓
    $x = 6, y = 4$
  • D
    $x = 7, y = 5$
✓

Answer

Correct option: C.
$x = 6, y = 4$
$x - y = 2 ....(i)$
$\frac{2}{\text{x+y}}=\frac{1}{5}$
$\Rightarrow 3x - 2y = 5 ...(ii)$
Adding equations $(i)$ and $(ii),$
we get $2x = 12$
$\Rightarrow x = 6$
Substituting $x = 6$ in $(ii),$
we get $y = 4.$

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