What must be subtracted from each term of the ratio 4:7, so that the ratio becomes 2:9?

22/7

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44/7

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50/7

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2/7

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Solution

The correct option is A 22/7
Consider the term to be subtracted from 4 and 7 as x.
$\frac{4 - x}{7 - x} = \frac{2}{9}$
$36 - 9 x = 14 - 2 x$
$22 = 7 x$ $\Rightarrow$ $x = 22 / 7.$

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