Skip to main content
OlympiadHQ

Browse · MATH

Print

jmc

algebra senior

Problem

Of the five points (3, 10), (6, 20), (12, 35), (18, 40) and (20, 50), what is the sum of the -coordinates of the points that lie in the region above the line in the coordinate plane?
Solution
A point lies above if its -coordinate is greater than 2 times its -coordinate plus 7. Checking the given points, we find that , , and satisfy this condition. The sum of the -coordinates of these points is .
Final answer
38