SOLUTION: Four times the larger of two numbers decreased by 3 times the smaller is 152. Three times the larger increased by 5 times the smaller is 288. Find the numbers.

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Question 1105940: Four times the larger of two numbers decreased by 3 times the smaller is 152. Three times the larger increased by 5 times the smaller is 288. Find the numbers.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
smaller is x
larger is y
4y-3x=152
3y+5x=288
20y-15x=760
9y+15x=864
29y=1624
y=56
substitute
224-3x=152
-3x=-72
x=24
(24, 56)
check in second
168+120=288 checks