Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
-The difference between two positive integers is 54. One integer is three times as great as the other. Find the integers.
A) 81 and 135
B) 27 and 54
C) 27 and 81
D) 54 and 81

Question

Quizplus · Accepted Answer

Let x be the smaller integer, then the larger integer is 3x. Since their difference is 54, we have:
3x - x = 54
Simplifying this gives:
2x = 54
x = 27
So the smaller integer is 27 and the larger integer is 3x27 = 81. Thus, the answer is choice C: 27 and 81.

Choose the One Alternative That Best Completes the Statement or Answers