What must be added to each term of the ratio 7 : 11, so as to make it equal to 3 : 4 ?

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Solution

Let the required number be x. Then,
$\frac{7 + x}{11 + x} = \frac{3}{4}$
$28 + 4 x = 33 + 3 x$
$x = 5$

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