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The mean of four consecutive even numbers is 15. Enter each number separated by a comma. The numbers are ____.

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5 votes

Answer:

12, 14 , 16, 18

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

User Gaurang Goda
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