If (4x + 5) : (3x + 11) = 13 : 17, find the value of x.

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Solution

(4x + 5) : (3x + 11) = 13 : 17

$\Rightarrow \frac{4 x + 5}{3 x + 11} = \frac{13}{17} \Rightarrow 68 x + 85 = 39 x + 143 \Rightarrow 29 x = 58 \Rightarrow x = 2$

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