SOLUTION: If one number exceeds another number by 13 and the larger number is 3/2 times the smaller number, what is the smaller number?

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Question 238128: If one number exceeds another number by 13 and the larger number is 3/2 times the smaller number, what is the smaller number?
Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = smaller number,,,,,,,and y= larger number
.
(1) y=x+13
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(2) y= 3/2 * x,,,,,,,,,subst
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x+13 = 3/2 * x,,,,,,,subtract x both sides
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13 = 1/2 * x,,,,,,,,,,multiply by 2 both sides
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26 = x,,,,,,,
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y= x+13 = 26 +13 = 39,,,,,,,,
.
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check,,(1) 39 = 26 + 13,,,,,ok
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(2) 39 = 3/2*26 = 39,,,,,,ok
.
.