What number should be added to the terms of 49:68 to get the ratio of – InterviewSolution

1.	What number should be added to the terms of 49:68 to get the ratio of 3:4 ? I need the answer with steps.
Answer» $Let\ the\ number\ to\ be\ added\ be\ x.\ Thus\\ \\ \frac{49+x}{68+x} = \frac{3}{4} \\ \\ 4(49+x)=3(68+x)\\ \\196+4x=204+3x\\ \\4x-3x=204-196\\ \\x=\boxed8\\ \\So\ 8\ should\ be\ added\ to\ the\ terms\ of\ 49:68\ to\ get\ the\ ratio\ 3:4.$

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