The sum of three consecutive even numbers is 36. If x represents the first of the three consecutive even numbers, which equation can be used to find x?
a. x(x+1)+(x+2)=36
b. x+(x+1)(x+2)=36
c. x+(x+2)+(x+4)=36
d. x(x+2)(x+4)=36
what do you think?
IT was intended to get you to do some thinking. Clearly, I am not the first to fail to do that.
for example,
1st even number- x = 2
2nd even number- 2 + 2 = 4
3rd even number- 2 + 4 = 6
does this help?
I gave you the answer if you think about it
Can u (C) it?
Start w/ (x) next is (x +2) next is (x + 4)
Thank you K I finally get it.
10
To solve this problem, let's break it down step by step.
We know that the three consecutive even numbers have a sum of 36. Let's represent the first even number as x.
The second even number would be x + 2 (since it is consecutive), and the third even number would be x + 4.
Summing up the three numbers, we have:
x + (x + 2) + (x + 4) = 36
This simplifies to:
3x + 6 = 36
Now, let's take a look at the answer choices and see which equation matches the one above:
a. x(x+1)+(x+2)=36 - This equation does not represent the problem correctly.
b. x+(x+1)(x+2)=36 - This equation does not correctly represent the consecutive even numbers.
c. x+(x+2)+(x+4)=36 - This equation matches our original equation, where the first number is x.
d. x(x+2)(x+4)=36 - This equation does not correctly represent the consecutive even numbers.
Therefore, the correct equation to find x is option c: x + (x + 2) + (x + 4) = 36.