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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None of these

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Solution

The correct option is C 29:22
$\frac{x}{y} = \frac{5}{2} (8 x + 9 y) : (8 x + 2 y) = \frac{8 x}{y} + \frac{9 y}{y} : \frac{8 x}{y} + \frac{2 y}{y} = \frac{8 \times 5}{2} + 9 : \frac{8 \times 5}{2} + 2 29 : 22$

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