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?

Answer 1

Equation used:

x + x + 2 + x + 4 = 72

x = 22

Explanation:

The sum of three consecutive even integers is 72.

First integer = x

Second integer = x+2

Third integer = x + 4

According to question, sum of all three even integers is 72

Therefore,

x + x + 2 + x + 4 = 72 (This equation is used to find x)

3x + 6 = 72

3x = 66

x = 22

Hence, The first equation is 22.

Answer 2

Hello from MrBillDoesMath!

Answer:

The equation is x + ( x+ 2) + (x+4 ) = 72

(while not asked, x = 22 is the solution)

Discussion:

We are given that

x + ( x+ 2) + (x+4 ) = 72 => (combine like terms)

3x + 6 = 72 => (subtract 6 from each side)

3x = 72 -6 = 66 =>

x = 66/3 = 22

Thank you,

MrB