## Task 2 - 030512

After the Circle Olympics for Young Mathematicians, a Pioneer was asked how many points he had scored. Jokingly, he said:

"If you add 10 to the number of my points and double the sum, I am still 10 points short of 100."

a) How many points did the Thälmann Pioneer score?

b) How did you find the result?
a) The pioneer scored 35 points.

b) Let the points achieved be $x$. Then the equation is: $(x+10) \cdot 2=100-10$.

Through equivalent transformations: $(x+10) \cdot 2=90$ and further $x+10=\frac{90}{2}=45$, the desired point score $x=35$ is obtained.