If x : y = 5 : 2 then (8x + 9y) : (8x + 2y) is

22 : 29

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26 : 61

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29 : 22

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61 : 26

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Solution

The correct option is C 29 : 22
Let x=5k and y=2k
then $\frac{8 x + 9 y}{8 x + 2 y}$
$\Rightarrow \frac{(8 \times 5 k) + (9 \times 2 k)}{(8 \times 5 k) + (2 \times 2 k)}$
$\Rightarrow \frac{58 k}{44 k}$
$\Rightarrow \frac{29}{22}$
then (8x + 9y) : (8x + 2y) =29:22

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