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If the mean of five consecutive integers is 30 ... - JAMB Mathematics 2006 Question

If the mean of five consecutive integers is 30, find the largest of the numbers
A
28
B
30
C
32
D
34
correct option: 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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