Question

Find two numbers whose sum is 27 and product is 182.

Answer 1

Sum of numbers = 27

Product of numbers = 182

Let first number = x

Second number = x + 1

Product of both the numbers = 182

x(27 - x) = 182

27x - x² = 182

-x² + 27x - 182 = 0

x² - 27x + 182 = 0

x² - 14x - 13x + 182 = 0

x(x - 14) - 13(x - 14) = 0

(x - 14)(x - 13) = 0

x - 14 = 0 and x - 13 = 0

x = 14 and x = 13

First number = x = 13

Second number = x + 1 = 13 + 1 = 14