Question

find two numbers whose sum is 27
the product is 182​

Answer 1

Answer

Let the first number be x then the second number 27 - x.

$x ( 27 - x ) = 182 $$

$⟹27x - x {}^{2} = 182 \\⟹ x {}^{2} - 27x + 182 = 0 \\ ⟹x {}^{2} - 13x - 14x + 182 = 0 \\ ⟹x(x - 13) - 14(x - 13) = 0 \\ ⟹(x - 13)(x - 14) = 0 \\ ⟹x = 13 \: and \: 14$

The first number is 13 and 2nd is 14.

@geniusbrain1