# The diffrence between two number is 9 and the product of the number is 162. Find the two numbers

2
by Therikaa

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.
• 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)