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If the average of $a$, $b$, and $c$ is 60, and the average of $a$ and $b$ is 55, what is the value of $c$?

1. 75
2. 65
3. 70
4. 80

Correct answer: 70

Solution

The average of $a$, $b$, and $c$ is 60, so $a+b+c=180$. The average of $a$ and $b$ is 55, so $a+b=110$. Therefore, $c=180-110=70$.

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