SOLUTION: Two consecutive numbers are such that three times the smaller one added to twice the bigger one is 27. Find the number?

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Question 1012110: Two consecutive numbers are such that three times the smaller one added to twice the bigger one is 27. Find the number?
Answer by ValorousDawn(53) About Me  (Show Source):
You can put this solution on YOUR website!
Lets say the bigger number is y, and the smaller number is x. If they're consecutive, then y=x+1.
Three times the smaller one is 3x, added to twice to the bigger one is 2y. They add to 27, to get the equation 3x%2B2y=27
We use substitution y=x+1 to get 3x%2B2%28x%2B1%29=27 and solve.
3x%2B2x%2B2=27
5x=25
x=5%7D%7D%0D%0A%7B%7B%7By=%285%29%2B1
y=6