The sum of four consecutive odd integers $w, x, y,$ and $z$ is $24$ . What is the median of the set ${w, x, y, z, 24}$ ?

3

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5

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7

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9

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24

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Solution

The correct option is A $7$
Given that the sum of four consecutive odd integers is $24$ .
which implies $x = w + 2, y = w + 4, z = w + 6$ .
Therefore $4 w + 12 = 24$ , which implies $w = 3$ .
So, the median of set $3, 5, 7, 9, 24$ is $7$ .

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