The number that must be added to the terms of the ratio $11 : 29$ to make it eq…

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The number that must be added to the terms of the ratio $11 : 29$ to make it equal to $11 : 20$ is:

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Let the required number be $x$ $\frac{11 + x}{29 + x} = \frac{11}{20}$ $20(11 + x) = 11(29 + x)$ $220 + 20x = 319 + 11x$ $9x = 99$ $x = 11$

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