What is the number which has to be added to each term of the ratio $49 : 68$ so that it becomes $3 : 4$ ?

3

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5

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8

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9

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Solution

The correct option is C $8$
$\frac{49 + x}{68 + x} = \frac{3}{4} \Rightarrow 196 + 4 x = 204 + 3 x$
$\Rightarrow x = 8$

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