Question

20) Three consecutive odd numbers sum to 315. Write an equation and solve for the first number, then list all three numbers.

Answer 1

Answer:

Step-by-step explanation:

I don't do this question the same way as it is done in the classroom, but I will get you the right answer

Let the middle number = x

Let the smallest number = x - 2

Let the largest number = x + 2

x - 2 + x + x + 2 = 315             Combine like terms. The 2s cancel

3x = 315                                  Divide by 3

x = 105

So the middle number is 105

The smallest number is   103

The largest number is     107

Total                                  315

This method cuts out at least one step. It works best with an odd number of terms. If you have an even number, you have to use the more traditional method.