Question 141

If $$x + \frac{2}{3 + \frac{4}{5 + \frac{7}{6}}}=10$$, the value of $$x$$ equals

Solution

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It is given that $$x+\frac{2}{3+\frac{4}{\frac{37}{6}}}=10$$
So, $$x+\frac{2}{3+\frac{24}{37}}=10$$
Or, $$x+\frac{2}{\frac{135}{37}}=10$$
Or, $$x+\frac{74}{135}=10$$
So, $$x=\frac{1276}{135}$$

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