If 1/a + 1/b = 1/c and ab=c, what is the average of a and b?

Question

Jakob Huang

Mathematics

21 October, 10:41

If 1/a + 1/b = 1/c and ab=c, what is the average of a and b?

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Answers (1)

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Jimmy Guzman · Answer 1

If we solve the left side of the given equation,

1/a + 1/b = 1/c

we get an answer of,

b+a / ab = 1/c

Since ab = c, we can conclude that b + a is 1. The average of these two numbers is equal to there sum divided by 2. The answer is therefore equal to 0.5.