Math Counts Question #15

Algebra Level 2

Real numbers b b and c c such that the product of c c and 3 is b b . Which of the following represents the sum of c c and 3 in terms of b b ?

b + 3 3 \frac {b+3}3 3 b + 3 3b+3 3 ( b + 3 ) 3(b+3) b 3 + 3 \frac b3+3 b + 3 b+3

Eric Zhu by Eric Zhu , 15, USA

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1 solution

3 c = b c = b 3 ⟹ c + 3 = b 3 + 3 \begin{aligned} 3c & = b \\ c & = \frac b3 \\ \implies c+3 & = \boxed{\dfrac b3+3} \end{aligned}

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