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24-05-2018
Mathematics

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X and y are two positive numbers and y is three greater than x. the product of the numbers is 180. find the smaller number, x.

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tramserran tramserran

24-05-2018

First positive number (x) = x
Second positive number (y) = x+3
Product: 180 = x · y
   180 = x · (x + 3)
   180 = x² + 3x
   0 = x² + 3x - 180
   0 = (x + 15)(x - 12)
   0 = x + 15, 0 = x - 12
       x = -15, x = 12
x = -15 is NOT a positive number so it can be disregarded.

Answer: 12

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