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 51 and the U.S.
Won more than China who won more than Romania, how many medals did each team win?
A)U.S.: 18 medals; China: 17 medals; Romania: 16 medals
B)U.S.: 19 medals; China: 18 medals; Romania: 17 medals
C)U.S.: 53 medals; China: 52 medals; Romania: 51 medals
D)U.S.: 16 medals; China: 15 medals; Romania: 14 medals

Question

Quizplus · Accepted Answer

Let the number of medals won by Romania be x. Then the number of medals won by China is x + 1, and the number of medals won by the U.S. is x + 2. Since the sum of the number of medals won by each team is 51, we have x + (x + 1) + (x + 2) = 51. Solving for x, we get x = 16. Therefore, Romania won 16 medals, China won 17 medals, and the U.S. won 18 medals.

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