Question 1048786

1. Find three consecutive odd integers such that the sum of the smaller two is three times the largest increased by seven..

2. Find three every other even integers such that the sum of all three is equal to three times the largest decreased by the other two numbers
<pre><b><u>1.</b></u>
Let smallest integer be S
Then middle and largest are: S + 2, and S + 4, respectively
We then get: S + S + 2 = 3(S + 4) + 7
2S + 2 = 3S + 12 + 7
2S + 2 = 3S + 19
2S - 3S = 19 - 2
- S = 17
S, or smallest integer = {{{17/(- 1)}}}, or {{{highlight_green(- 17)}}}
{{{highlight_green(matrix(2,6, Middle, integer, "=", - 17 + 2, or, - 15, Largest, integer, "=", - 17 + 4, or, - 13))}}}

You need to do the 2nd by yourself. It'll be good practice for you.