If $99 x + 101 y = 400$ and $101 x + 99 y = 600$ then $x + y$ is _____

4

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5

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Solution

The correct option is A $5$
We have, $99 x + 101 y = 400$ and $101 x + 99 y = 600$
Add both the equations
$\Rightarrow 99 x + 101 x + 101 y + 99 y = 400 + 600$
$\Rightarrow 200 x + 200 y = 1000$
$\Rightarrow x + y = 5$ , divide both sides by $200$

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Similar questions

99 x + 101 y = 499

101 x + 99 y = 501

99 x + 101 y = 499

101 x + 99 y = 501

Solve for x and y

99x + 101y=499xy

101x +99y= 501xy

Solve :

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(With steps)

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