Answer:
\(-1\).
Step-by-step explanation:
Let x be our required number.
11 times the number would be \(11x\).
Three less than 11 times a number would be \(11x-3\).
The number decreased by 13 be \(x-13\).
We have been given that three less than 11 times a number is the same as the number decreased by 13. We can represent this information in an equation as:
\(11x-3=x-13\)
\(11x-3+3=x-13+3\)
\(11x=x-10\)
\(11x-x=x-x-10\)
\(10x=-10\)
\(\frac{10x}{10}=\frac{-10}{10}\)
\(x=-1\)
Therefore,our required number would be \(-1\).
