If the mean of five consecutive integers is 30, find the largest of the numbers

If the mean of five consecutive integers is 30, find the largest of the numbers
  • A.
    28
  • B.
    30
  • C.
    32
  • D.
    34
Correct Answer: Option C
Explanation

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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