99.0k views
3 votes
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?

1 Answer

3 votes

Answer:

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.

User Narendra
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories