Question

three consecutive even numbers are such that the difference between six times the smallest number and four times the largest number is equal to the middle number . what is the middle number?​

Answer 1

Answer:10

Step-by-step explanation:

Let the consecutive numbers are x/2,x/2+2 and x/2+4

equations=>

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

6x/2=4x/2+16

3x=2x+16

x=16

so middle number is x/2+2

=16/2+2

=8+2

=10

Answer 2

Answer:

20

Step-by-step explanation:

let the smallest of the even numbers be denoted as $x$

if the difference of 6 multiplied by the smallest number and product of 4 and the largest number is equal to the middle number, then

we can form the following equation;

$6*(x)-4*(x+4)=(x+2)\\6x-4x-16=x+2\\2x-16=x+2$

$2x-x=2+16\\x=18$

Therefore the numbers are;

18, (18+2=20), (18+4=22)

the middle number is 20