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Math Help - The average of A and B is 10...

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    The average of A and B is 10...

    The average (arithmetic mean) of A and B is 10, whereas the average of B and 10 is C/2. What is the average of A and C?
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    Quote Originally Posted by ceasar_19134 View Post
    The average (arithmetic mean) of A and B is 10, whereas the average of B and 10 is C/2. What is the average of A and C?
    This looks like a SAT question.

    \frac{A+B}{2}=10
    \frac{B+10}{2}=\frac{C}{2}

    Thus,
    A+B=20 (1)
    B+10=C (2)
    From (1) subtract (2),
    A-10=20-C
    A+C=30
    \frac{A+C}{2}=15
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