the sum of two whole numbers is 19. the product of the numbers is 84. what are the two numbers?

Question

The sum of two whole numbers in 19. The product of the numbers is 84. What are the two numbers? 

Answer 1

Let x = one of the numbers

Then, 19 - x = the other number

 

x(19 - x) = 84

 

19x - x² = 84

 

x² - 19x + 84 = 0

 

(x - 12)(x - 7) = 0

 

x = 12 or x = 7

 

If x = 12, then 19 - x = 7

 

If x = 7, then 19 - x = 12

 

The numbers are 7 and 12.