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Six years ago, the ratio of the ages of Ravi and Laxmi was 6:5. Four years hence, the ratio will be…

Let the ages six years ago be \(6x\) and \(5x\). Four years from now is ten years after that point, so \(\frac{6x+10}{5x+10} = \frac{11}{10}\), giving \(60x+100 = 55x+110\)…

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Six years ago, the ratio of the ages of Ravi and Laxmi was 6:5. Four years hence, the ratio will be 11:10. Ravi's age at present is

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Let the ages six years ago be 6x6x and 5x5x. Four years from now is ten years after that point, so 6x+105x+10=1110\frac{6x+10}{5x+10} = \frac{11}{10}, giving 60x+100=55x+11060x+100 = 55x+110 and x=2x=2. Ravi was therefore 12 six years ago, so his present age is 18 years.

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