The sum of two numbers is equal to 27 and their product is equal to 182. What are the two numbers?
1). 15, 12
2). 11, 16
3). 9, 18
4). 13, 14
Let x and y be the two numbers.
x+y = 27
x*y = 182
x + (182/x) = 27
x^2 - 27x + 182 = 0
x^2 - 14x - 13x +182 = 0
(x-13)(x-14) = 0
x = 13 or x = 14
y = 14 or y = 13
13 and 14 are the numbers.