Current location - Training Enrollment Network - Mathematics courses - Mathematics Competition Volume 4
Mathematics Competition Volume 4
(1) Get 5 points for answering a question correctly, and deduct 1 point for not answering or answering incorrectly.

Use the idea of binary linear equation: get X points for answering a question correctly, and get Y points for not answering or answering a question incorrectly.

There are four conditions that can be listed as equations, and it is enough to choose two of them, such as

{ 19x-y=94

18x-2y=88

Simultaneous solution, x=5, y= 1.

② Impossible.

It is also verified by equation thought.

Set the answer to question A correctly, and don't answer or answer the question B incorrectly.

{5A-B=65

A+B=20

The simultaneous solution A is not an integer, so this situation is impossible.