Mathematics

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)