Alright! Let's start off with the basic from the info given:
150= 5(x+y+z)
First off, since you're looking for x y and z, let's divide both sides by 5:
30= x+y+z
Now let's change y and z written in terms of x:
y= x+1 because it's a consecutive integer
z=x+2 because it's 1 + the value for y
So let's set this up:
30= x + x+1 +x+2
Then simplify
30= 3x + 3
Since you're looking for x, let's subtract 3 then divide by 3
27= 3x
9=x
Now that you have the value of x, plug it into the equations above for y and z:
y=x+1
y= 9+1=10
z= x+2
z= 9+2 =11
Try it out!
(9+10+11) * 5 = 150
(30) * 5 = 150
150 = 150!
So you have x= 9, y= 10, and z=11
Hope this helps!
