Question

There are 3 consecutive integers. Four times the smallest integer is equal to six more than more than three times the largest. What is the smallest of the 3 integers?

Answer 1

The answer is 12.

Explanation:

Let the smallest number = x and the largest number = x+2(since the three numbers are consecutive, we would have to use x+2. If we wanted the second largest number, it would be x+1)

We would write the statement "four times the smallest integer is equal to six more than more than three times the largest" as:

4x = 3(x+2) + 6

Now just solve.

4x = 3x+6+6 distributive property

4x = 3x+12 simplify

x = 12 subtraction property

And since x is the smallest number, we have our answer.

Therefore, the answer is 12.