Question

The product of two whole numbers is 490 and their sum is 49. What are the two numbers?

Answer 1

Answer:

Step-by-step explanation:

x*y = 490

x + y = 49

x = 49 - y

y*(49 - y ) = 490

49y - y^2 = 490

0 = y^2 - 49y + 490

This does factor (oddly). It doesn't look like it, but it does.

(y - 35) (y - 14) = 0

y - 35 = 0

y = 35

y - 14 = 0

y = 14

x = 49 - y  

Let y = 14

x = 49 - 14

x = 35

x = 49 - y

let y = 35

x = 49 - 35

y = 14

Solutions

(35,14)

(14,35)   Both solutions are valid.