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Two numbers are in the ratio of 6:7. If 12 is added to each of the numbers, their ratio becomes 7:8.…

Let the numbers be \(6x\) and \(7x\). Then \(\frac{6x+12}{7x+12}=\frac{7}{8}\) gives \(48x+96=49x+84\), so \(x=12\) and the numbers are 72 and 84.

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Two numbers are in the ratio of 6:7. If 12 is added to each of the numbers, their ratio becomes 7:8. Find the two numbers.

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Correct answer A

Let the numbers be 6x6x and 7x7x. Then 6x+127x+12=78\frac{6x+12}{7x+12}=\frac{7}{8} gives 48x+96=49x+8448x+96=49x+84, so x=12x=12 and the numbers are 72 and 84.

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