Discussion
The sum of five consecutive numbers is 20. What is the sum of first three consecutive numbers ?
Answer: B
The sum of the first three numbers is 9.
Five consecutive numbers have their middle number equal to their average:
\[ \begin{aligned} \text{middle} &= 20 \div 5 = 4 \\ \text{numbers} &= 2, 3, 4, 5, 6 \\ 2 + 3 + 4 &= 9 \end{aligned} \]
Check: 2 + 3 + 4 + 5 + 6 = 20. The answer 12 is 3 + 4 + 5, the middle three, and 5 is just 2 + 3, the first two.
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