Maths Olympiad Prep

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, 2015

Algebra Difficulty 1.5 Junior Find the answer Canada

The operation \otimes is defined by ab=ab+baa \otimes b = \dfrac{a}{b}+\dfrac{b}{a}. What is the value of 484 \otimes 8?

Pick one

Solutions — 2

Solution 1

From the given definition, 48=48+84=12+2=212=524 \otimes 8 = \dfrac{4}{8}+\dfrac{8}{4} = \dfrac{1}{2}+2 = 2\dfrac{1}{2}=\dfrac{5}{2}

Solution 2

From the given definition, 48=48+84=12+2=524 \otimes 8 = \dfrac{4}{8}+\dfrac{8}{4} = \dfrac{1}{2}+2 = \dfrac{5}{2}

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