SOLUTION: Two numbers are such that the greater number is 4 less than twice the smaller number. If the greater number is exactly 3 times the difference between the numbers, find the numbers.

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Question 808315: Two numbers are such that the greater number is 4 less than twice the smaller number. If the greater number is exactly 3 times the difference between the numbers, find the numbers.
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
g = 2s - 4
g = 3(g - s)
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s = (g + 4)/2
g = 3(g - s)
g = 3g - 3s
3s = 2g
s = (2/3)g
(g + 4)/2 = (2/3)g
(1/2)g + 2 = (2/3)g
(3/6)g + 2 = (4/6)g
2 = (1/6)g
g = 12
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Answer:
g = 12
s = 8
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