przesypkai4

2022-07-27

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

ri1men4dp

Beginner2022-07-28Added 14 answers

let the number be x

$\frac{2}{3}\text{rd of a number}=\frac{2}{3}x$

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 $\frac{5}{8}$

$\frac{2}{3}\text{rd of a number}=\frac{2}{3}x$

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 $\frac{5}{8}$

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