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2016-01-26T01:31:00+08:00

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The answer is 9 and 18.

18 x 9 = 162
18 - 9  =    9

I had to get the factors of 162 because it is a limited set of factors compared to the numbers that can be subtracted to get the difference of 9.
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  • Brainly User
2016-01-28T09:12:44+08:00
X - y = 9
   -y = 9 - x
    y = -9 + x   

Condition:  The product of two numbers is 162
     First number: x
     Second number:  -9 + x

Equation:
     (x) (-9 + x) = 162
     -9x + x² = 162
     x² - 9x - 162 = 0

Solve by Factoring:
    x² - 9x - 162 = 0
    (x - 18) (x + 9) = 0
  
     x - 18 = 0                                 x + 9 = 0
     x = 18                                      x = -9

Choose positive value, x = 18
Substitute 18 for x:
   First number: x = 18
   Second Number: 18 - 9 = 9

ANSWER:  The numbers are 18 and 9.

Check:
     18 - 9 = 9
      9 = 9   (True)
   
      (18) (9) = 162
       162 = 182    (True)



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