SOLUTION: the large of two numbers exceeds three times the smaller by 2. if the smaller number is 30% of the larger, what is the smaller number?

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Question 1177714: the large of two numbers exceeds three times the smaller by 2. if the smaller number is 30% of the larger, what is the smaller number?
Answer by Alan3354(69443) About Me  (Show Source):
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the large of two numbers exceeds three times the smaller by 2. if the smaller number is 30% of the larger, what is the smaller number?
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the large of two numbers exceeds three times the smaller by 2.
L = 3S + 2
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S = 0.3L = 3L/10
if the smaller number is 30% of the larger,
S = 0.3L = 3L/10 --> 10S = 3L
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10S = 3*(3S + 2) = 9S + 6
S = 6
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what is the smaller number?