Question

Three times the largest of three consecutive even integers is equal to the sum of the other two

Answer 1

Answer:

The three consecutive even integers are

$x=-10\\x+2=-8\\x+4=-6$

Step-by-step explanation:

Let  

x ----> the smallest of three consecutive even integers

x+2 ----> the second consecutive even integers

x+4 ----> the largest of three consecutive even integers

we know that

Three times the largest of three consecutive even integers is equal to the sum of the other two

so

$3(x+4)=x+(x+2)$

solve for x

$3x+12=2x+2\\3x-2x=2-12\\x=-10$

Find (x+2)

$(x+2)=-10+2=-8$

Find (x+4)

$(x+4)=-10+4=-6$

therefore

The three consecutive even integers are

$x=-10\\x+2=-8\\x+4=-6$