SOLUTION: 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 t

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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




Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Question number 2 makes poor sense. "every even integers"?

Question number 1 is clear.
The numbers, for n being any integer, are system%282n%2B1%2C2n%2B3%2C2n%2B5%29 and the description is from literal conversion into an equation, %282n%2B1%29%2B%282n%2B3%29=3%282n%2B5%29%2B7.
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Solve for n, and then evaluate the three consecutive odd integers.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

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
1.

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%2F%28-+1%29, or highlight_green%28-+17%29





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