If $33 x + 12 y = 123$ and $12 x + 33 y = 102$ , then find the value of $x + y$ .

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Solution

Given,
$33 x + 12 y = 123$ ...(i)
$12 x + 33 y = 102$ ...(ii)
On adding (i) and (ii), we get
$45 x + 45 y = 225$
$\Rightarrow x + y = 5$

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