Answer:
12, 14 , 16, 18
Step-by-step explanation:
let the smallest of the numbers be n
since the numbers are consecutive and even, the numbers may be expressed as :
n (n+2) (n+4) (n + 6)
it is given that the mean of the 4 numbers is 15, hence the following formula applies
mean = (sum of all values ) ÷ number of values
it is given that the mean = 15
sum of values = n + (n+2) + (n+4) + (n + 6) = 4n + 12
hence the formula becomes:
15 = (4n+12) / 4
15(4) = 4n + 12
60 = 4n + 12
4n = 60 - 12
4n = 48
n = 48 / 4
n = 12
hence the numbers are
12, 14 , 16, 18
