Question

The sum of three consecutive even integers is 72. Let x represent the first integer,, x+2 represent the second integer, and x+4 represent the third integer. Which equation can be used to find the first integer?

a. 3x+72=2x+6
b. 2x+64=72
c. 3x=2x+6
d. 3x+6=72

Answer 1

To find the first integer in a set of three consecutive even integers that sum to 72, we use the equation 3x + 6 = 72, where x represents the first integer.

Step-by-step explanation:

The question asks us to find an equation to determine the first integer in a sequence of three consecutive even integers whose sum is 72. Letting x represent the first integer, the next two integers in the sequence can be represented as x+2 and x+4. To find the value of x, we need to set up and solve the equation that represents the sum of these three integers:

x + (x+2) + (x+4) = 72

Simplifying this equation, we combine like terms:

3x + 6 = 72

The correct equation to use is 3x + 6 = 72, which corresponds to option d.