Library / /268 of 356

, 2002

Number theory Difficulty 2.0 Junior Find the answer Canada

In the following equations, the letters $a$ , $b$ and $c$ represent different numbers.
$1^3 = 1$
$a^3 = 1 + 7$
$3^3 = 1 + 7 + b$
$4^3 = 1 + 7 + c$
The numerical value of $a + b + c$ is

(A) $58$ (B) $110$ (C) $75$ (D) $77$ (E) $79$

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.