Question

the sum of three consecutive even integers is -450 find the integers

Answer 1

Same idea as last time.

a + b + c = -450, and a, b, and c are consecutive integers, but they are all even. That means b=a+2 and c=b+2. That implies c=(a+2)+2, or c=a+4.

a + a + 2 + a + 4 = -450
Combine like terms.
3a + 6 = -450
Use algebra.
3a+6-6=-450-6
3a=-456
3a/3=-456/3
a=-152

You have your answer for the first integer. Now, since b=a+2 and c=a+4, you just have to add.

b=a+2
b=-152+2
b=-150

c=a+4
c=-152+4
c=-148

-152, -150, -148.