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2015-10-19T07:53:51+08:00

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The sum of two numbers:
x + y = 27

Let first number be x

To represent the second number:
     x + y = 27
     y = 27 - x
Let the second number be 27-x

The product of the two numbers is 162.
(x) (27-x) = 162
-x² + 27x = 162
-x² + 27x - 162 = 0
-1 ( -x² + 27x - 162 = 0) -1

x² - 27x + 162 = 0

Solve by factoring:
(x-9 ) (x-18) = 0

x - 9 = 0                x - 18 = 0
x = 9                     x = 18

The first number x ⇒   x = 18
second number is 27-x  ⇒  27-18 = 9

The numbers are 18 and 9.  
The ratio of two numbers is 18:9   or   2:1





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