Discussion
The average of 5 consecutive even numbers is 42. Find the largest number is
Answer: A
The largest number is 46.
For an odd count of consecutive even numbers, the average is the middle number. So the five numbers are centred on 42, going up and down in steps of 2:
\[ 38,\ 40,\ 42,\ 44,\ 46 \]
Check: \(38 + 40 + 42 + 44 + 46 = 210 = 5 \times 42\). 44 is the next number after the middle, not the largest. 43 and 45 are odd, so they cannot belong to a set of even numbers at all.
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