If the mean of five consecutive integers is 30, find the ...
If the mean of five consecutive integers is 30, find the largest of the numbers
28
30
32
34
Correct answer is C
Let the consecutive numbers be a, a+1, a+2, a+3, a+4
Mean = \frac{(a+a+1+a+2+a+3+a+4)}{5}\\
30 = \frac{5a+10}{5}\\
30 \times 5 = 5a + 10\\
5a = 150 - 10\\
5a = 140\\
a = 28 \\
∴ a + 4 = 28 + 4\\
= 32
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