Question

Please help!!! Will give five stars to the first person to answer correctly!!!

The sum of three consecutive integers is 42. Which of the equations could represent this relationship? Check all that apply.
a.) x+(x+1)+(x+2)=42
b.) x+(x+2)+(x+4)=42
c.) (x+1)+x+(x+1)=42
d.) (x-2)+x+(x+2)=42
e.) x+2x+3x=42

Answer 1

the equation could represent this relationship is B

Answer 2

The answer would be A. Lets think about it practically with the consecutive set 1, 2, and 3.

Let the lowest number (1) be x. To get to 2 from 1, we add 1. To get from 1 to 3, we add 2. So, if 1 is x, then x+1 is 2, and x+2 is 3.

We can do this with any consecutive set. That means the consecutive set is x, x+1, and x+2.

Then, we know the sum of those numbers is 42, so x + (x+1) + (x+2) = 42.

This answer assumes the definition of consecutive numbers being counting order.

If consecutive even or odd numbers are allowed (2, 4, 6 or 1, 3, 5), answers b and d would also be correct selections.