SOLUTION: Choose the equation that best represents the following: The sum of three consecutive integers is 24. A. x(x + 1)(x + 2) = 24 B. x + (x + 2) + (x + 4) = 24 C. (x + 1)(x + 2) =

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Choose the equation that best represents the following: The sum of three consecutive integers is 24. A. x(x + 1)(x + 2) = 24 B. x + (x + 2) + (x + 4) = 24 C. (x + 1)(x + 2) =      Log On


   



Question 224786: Choose the equation that best represents the following: The sum of three consecutive integers is 24.
A. x(x + 1)(x + 2) = 24
B. x + (x + 2) + (x + 4) = 24
C. (x + 1)(x + 2) = 24
D. x + (x + 1) + (x + 2) = 24

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Choose the equation that best represents the following: The sum of three consecutive integers is 24.
A. x(x + 1)(x + 2) = 24
B. x + (x + 2) + (x + 4) = 24
C. (x + 1)(x + 2) = 24
D. x + (x + 1) + (x + 2) = 24

Step 1. Let x be the first integer.

Step 2. Let x+1 and x+2 be the next two consecutive integers

Step 3. Let x+(x+1)+(x+2) be the sum of the three consecutive integers.

Step 4. Then x+(x+1)+(x+2)= 24 since the sum of the three integers is 24.

Step 5. ANSWER is D.

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J