The sum of two consecutive integers is three times their difference. what is the larger number?​

Step-by-step explanation:

In order to find the two consecutive numbers, we have to note that a consecutive number is one that is just after the previous.

Such: 4, 5, 6 are consecutive. 12, 69, 42 are not.

Therefore - we can represent our first number as and our second as .

Let's make an equation based on the problem.

"The sum of two consecutive integers"

"3 times their difference"

We can now set these equal to each other.

Let's solve for x.

Now we know that our first number is 1. Therefore, since our second number is one greater, our second number will be .

The question asks for the larger number. 2 is larger than 1, therefore 2 is our answer.

Hope this helped!

answer: the common difference is -0.10

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