SOLUTION: The difference between two numbers is 13. Two times the larger is 17 less than 3 times the smaller. What are the numbers?

Question 252938: The difference between two numbers is 13. Two times the larger is 17 less than 3 times the smaller. What are the numbers?
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
The difference between two numbers is 13 translates to
X - Y = 13
Two times the larger is 17 less than 3 times the smaller translates to
2X = 3Y - 17.
We can solve by substitution and get
2(y+13) = 3y - 17.
2y + 26 = 3y - 17
43 = y
x = 56
(56, 43)

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