Answered

IDNStudy.com, ang komunidad ng pagbabahagi ng kaalaman at mga sagot. Ang aming mga eksperto ay nagbibigay ng mabilis at eksaktong sagot upang tulungan kang maunawaan at malutas ang anumang problema.

the product of two numbers is 162.If their sum is 27,what is their ratio ?


Sagot :

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