In a certain game each player scores either 2 points or 5 po

In a certain game, each player scores either 2 points or 5 points. If n players score 2 points amd m players score 5 points, and the total number of points scored is 50, what is the least possible positive difference between n and m? 1 3 5 7 9

Solution

We have the equation 2n + 5m = 50
We have factor 2 in first number and we have factor 5 in second number.

To satisfy the equation , m will always be even.

m    2    4 6   8
n    20    15 10    5

Lowest |n-m|=| 5 - 8 | = 3

So the answer is 3