SOLUTION: The difference of two numbers is 14. three times the larger number is 45 less than four times the smaller. What are the two numbers.

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Question 548875: The difference of two numbers is 14. three times the larger number is 45 less than four times the smaller. What are the two numbers.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x y the numbers x>y
x-y=14...............1
3x=4y-45
3x-4y=45..............2
multiply (1) by -1 and add the equation to (2)
-3x+3y=-42
3x-4y=45
-y=3
y=-3
..
plug y in (1)
x-(-3)=14
x+3=14
x=11