Algebra

Algebra Level 1

Let ∗ * be defined as a binary operation such that a ∗ b = a + b a − b a * b = \dfrac{a+b}{a-b} , what is the value of 5 ∗ 4 5 * 4 ?

20 0 9 1

Edward Adan by Edward Adan , 26, Bangladesh

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2 solutions

Sam Bealing
Jun 26, 2016

a = 5 , b = 4 ⇒ a + b a − b = 5 + 4 5 − 4 = 9 a=5,b=4 \Rightarrow \dfrac{a+b}{a-b} =\dfrac{5+4}{5-4}=\boxed{\boxed{9}}

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I calculated this mentally. It took me less than a second.

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