MathDB
2023 Fall Speed p3

Source:

December 23, 2023
2023FAlLspeedalg

Problem Statement

Sam Wang decides to evaluate an expression of the form x+22+yx +2 \cdot 2+ y. However, he unfortunately reads each ’plus’ as a ’times’ and reads each ’times’ as a ’plus’. Surprisingly, he still gets the problem correct. Find x+yx + y.
Proposed by Edwin Zhao
Solution. 4\boxed{4} We have x+22+y=x2+2yx+2*2+y=x \cdot 2+2 \cdot y. When simplifying, we have x+y+4=2x+2yx+y+4=2x+2y, and x+y=4x+y=4.