Question

There are three consecutive integers. The product of the smaller two integers added to 6 is equal to the product of the smallest and largest integer. What is the largest integer?

Answer 1

so the two smaller integers add up to 6, and the smallest and largest add up to 6 also?

Answer 2

a+b= 6 and a+c= 6,

Answer 3

no the 2 smaller ones added to 6 equal the product of the smaller and larger numbers.

Answer 4

oh

Answer 5

so a+b+6=a+c

Answer 6

im sorry but i dont know how to do this one

Answer 7

you good

Answer 8

Let's solve your equation step-by-step.
(x−1)(x)+6=(x−1)(x+1)
Step 1: Simplify both sides of the equation.
x2−x+6=x2−1
Step 2: Subtract x^2 from both sides.
x2−x+6−x2=x2−1−x2
−x+6=−1
Step 3: Subtract 6 from both sides.
−x+6−6=−1−6
−x=−7
Step 4: Divide both sides by -1.
−x−1=−7−1
x=7
Answer:
x=7

Answer 9

the largest integer is 7