Answer:
\(\frac{-5x}{-5}=\frac{-240}{-5}\)
Step-by-step explanation:
Let x be our required number.
One-eighth of the number would be \(\frac{1}{8}x\).
One-third of the number would be \(\frac{1}{3}x\).
10 less than one-third of the number would be \(\frac{1}{3}x-10\).
We have been given that one eighth of a number is ten less than one third of the number. We can represent our given information in an equation as:
\(\frac{1}{8}x=\frac{1}{3}x-10\)
\(\frac{1}{8}x-\frac{1}{3}x=\frac{1}{3}x-\frac{1}{3}x-10\)
\(\frac{x}{8}-\frac{x}{3}=-10\)
\(\frac{3x}{24}-\frac{8x}{24}=-10\)
\(\frac{3x-8x}{24}=-10\)
\(\frac{-5x}{24}=-10\)
\(\frac{-5x}{24}*24=-10*24\)
\(-5x=-240\)
\(\frac{-5x}{-5}=\frac{-240}{-5}\)
\(x=48\)
Therefore, our required number is 48.
