If a : b = 5 : 3, find (2a + 7b) : (6a - 7b).

12:9

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31:9

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25:9

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22:7

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Solution

The correct option is B
31:9

Let a : b = 5 : 3 $\Rightarrow$ If a = 5x, then b = 3x;

and $\frac{2 a + 7 b}{6 a - 7 b} = \frac{2 (5 x) + 7 (3 x)}{6 (5 x) - 7 (3 x)} = \frac{31 x}{9 x}$

$= \frac{31}{9} = 31 : 9$

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Similar questions

a : b = 5 : 3,

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\frac{a}{b} = \frac{6}{7}

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