Question

The average of four constutive even numbers is 27 find the smallest number

Answer 1

Find the sum of the 4 numbers:

Average of the 4 numbers = 27

Sum of the 4 numbers = 4 x 27 = 108

Define x:

Let x be the smallest number

The other 3 numbers are ( x + 2) , ( x + 4) and (x + 6)

Form equation:

The sum of the numbers is 108

x + (x + 2) + (x + 4) + (x + 6) = 108

Solve x:

x + (x + 2) + (x + 4) + (x + 6) = 108

x + x + 2 + x + 4 + x + 6 = 108

4x + 12 = 108

4x = 96

x = 24

Answer: The smallest number is 24

Answer 2

Let four consecutive even numbers are x, x+2,x+4,x+6

27 =(x+x+2+x+4+x+6)/4

27*4=4x+12

{27*4}/4=x+3

27=x+3

27-3=x

24=x


Then, consecutive numbers are,