# Five-sixths more than two-thirds of a number results in two times the number. Find the number.

Five-sixth more than two-thirds of a number results in two times the number. Find the number.
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ri1men4dp
let the number be x

so, $\frac{5}{6}$ th more than $\frac{2}{3}$ rd of a number = 2 times the number
equation would be
$\frac{5}{6}+\frac{2}{3}x=2x$
subtracting $\frac{2}{3}x$ from both sides
$\frac{5}{6}=2x-\frac{2}{3}x\phantom{\rule{0ex}{0ex}}\frac{5}{6}=\frac{4}{3}x\phantom{\rule{0ex}{0ex}}x=\frac{3\cdot 5}{6\cdot 4}\phantom{\rule{0ex}{0ex}}x=\frac{5}{8}$
therefore, the number is $\frac{5}{8}$