One number is 5 times as large as another. The sum of their reciprocals is . Find the two numbers.

Name: One number is 5 times as large as another. The sum of their reciprocals is . Find the two numbers.
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Question

One number is 5 times as large as another. The sum of their reciprocals is  . Find the two numbers.

Quizplus · Accepted Answer

Let x be the smaller number, then the larger number is 5x. The sum of their reciprocals is 1/x + 1/5x = (6/5x).
We are given that (6/5x) = 11, so x = (6/55). The larger number is 5x = (30/55) = (6/11).
Therefore, the two numbers are (6/55) and (6/11), which corresponds to choice C.

One Number Is 5 Times as Large as Another