SOLUTION: For two consecutive integers, 3 times the smaller number added to 2 times the larger number is equal to 182. Find the numbers.

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Question 707275:
For two consecutive integers, 3 times the smaller number added to 2 times the larger number is equal to 182. Find the numbers.

Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
Let x & x+1 be the 2 integers.
3x+2(x+1)=182
3x+2x+2=182
5x=182-2
5x=180
x=180/5
x=30 ans. for the smaller integer.
30+1=31 ans. for the larger integer.
Proof:
3*30+2*31=182
90+92=182
182=182