## Task 1 - 270821

A team leader claims that he can guess any number thought of by his circle participants if he is only given the result of the following calculation:

"Think of a number. Add the number 5 to it, multiply the sum by 16, subtract the six times the thought number from this product, and divide this difference by 10!"

Can the thought number actually be determined from the result of this calculation? If so, describe and justify how this can be done!
If we denote the thought-of number by $x$, then the numbers formed in the order of the mentioned calculation are

$$
\begin{array}{rll}
x+5 & ; & (x+5) \cdot 16=16 x+80 \\
16 x+80-6 x=10 x+80 & ; & (10 x+80) \div 10=x+8
\end{array}
$$

If you subtract 8 from this, you get the number $x$.

This proves: The thought-of number can be determined from the result to be stated by subtracting 8 from this result.