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)   (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

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