Solve the problem.
-In a recent International Gymnastics competition, the U.S., China, and Romania were the big winners. If the total number of medals won by each team are three consecutive integers whose sum is 33 and the U.S. won More than China who won more than Romania, how many medals did each team win?

Question

Quizplus · Accepted Answer

The total number of medals won by each team are three consecutive integers whose sum is 33. Let x be the smallest integer. Then the next two integers are x + 1 and x + 2. The sum of these three integers is x + (x + 1) + (x + 2) = 3x + 3 = 33. Solving for x, we get x = 10. Therefore, the three consecutive integers are 10, 11, and 12. Since the U.S. won more than China who won more than Romania, the U.S. won 12 medals, China won 11 medals, and Romania won 10 medals.

Solve the Problem. -In a Recent International Gymnastics Competition, the U.S., China, and U.S