SOLUTION: the sum of two consecutive odd integers is 21 less than 3 times the larger number. Find the numbers.

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Question 1071102: the sum of two consecutive odd integers is 21 less than 3 times the larger number. Find the numbers.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
x%2Bx%2B2=3%28x%2B2%29-21

2x%2B2=3x%2B6-21
2=x%2B-15
x=17

The integers are 17 and 19.

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Do they work?
17%2B17%2B2=3%2817%2B2%29-21
36=3%2819%29-21
36=57-21
36=36
yes