SOLUTION: One of two positive numbers exceeds 4 times the other number by 4. One-third of the larger exceeds one-half of the smaller by 8. Find both numbers.

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Question 73575This question is from textbook
: One of two positive numbers exceeds 4 times the other number by 4. One-third of the larger exceeds one-half of the smaller by 8. Find both numbers. This question is from textbook

Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
X=4Y+4
X/2+8=y/3 now replace x with (4y+4) in this equation & solve for y
(4y+4)/2+8=y/3
2y+2+8=y/3
2y+10=y/3 now cross multiply
3(2y+10)=y
6y+30=y
6y-y=-30
5y=-30
y=-30/5
y=-6 answer. now substitute -6 for y & solve for x n the other equation
x=4*-6+4
x=-24+4
x=-20 answer
proof
-20/2+2=-6/3
-10+8=-2
-2=-2