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Two numbers have sum 9 and product 18. What is a/b + b/a?

Competition practiceAlgebra

A5/2
B9/2
C1/2
D2

Step-by-Step Solution

a^{2} + b^{2} = 81 - 36 = 45

, so

a / b + b / a = (a^{2} + b^{2}) / ab = 45/18 = 5/2

. (The numbers are 6 and 3.)

Answer: A) 5/2

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