SOLUTION: The difference between two numbers is 18. The sum of twice the smaller number and three times the larger number is 784. What are the numbers?

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Question 696360:
The difference between two numbers is 18. The sum of twice the smaller number and three times the larger number is 784. What are the numbers?
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
X-Y=18
X=18+Y
2Y+3X=784
2Y+3(18+Y)=784
2Y+54+3Y=784
5Y=784-54
5Y=730
Y=730/5
Y=146 ANS FOR THE SMALLER NUMBER.
X-146=18
X=18+146
X=164 ANS. FOR THE LARGER NUMBER.
PROOF:
2*146=3*164=784
292+492=784
784=784