Euclid 2023 Question 1, CEMC UWaterloo

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Difficulty: 4

This problem is tagged with euclid, euclid23, highschool.

(Euclid 2023, Question 1, CEMC - UWaterloo)

(a) The average of $n$, $2n$, $3n$, $4n$, $5n$ is $18$. What is the value of $n$?
(b) Suppose that $2x + y = 5$ and $x + 2y = 7$. What is the average of $x$ and $y$?
(c) The average of $t^2$, $2t$ and $3$ is $9$. If $t \lt 0$, determine the value of $t$.

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