The Sum Of Two Positive Integers Is 18 Ang Their Product Is 72. What Is The Integer

The sum of two positive integers is 18 ang their product is 72. What is the integer

 

Answer:

The integers are 12 and 6.

Step-by-step explanation:

First number: x

Second number: y

Sum:

x + y = 18

y = 18-x

Product:

(x)(y) = 72

(x)(18-x) = 72

-x² + 18x = 72

x² - 18x + 72 = 0

Factor:

(x - 12) (x - 6) = 0

x - 12 = 0

x = 12

x - 6 = 0

x = 6

The integers are 12 and 6.

Check:

x + y = 18

12 + 6 = 18

18 = 18  (True)

(x) × (y) = 72

12 × 6 = 72

72 = 72  (True)