Question

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

Answer 1

given that the sum of two no is 27.& their product is 182.

then the no will be 14 & 13.

Answer 2

Let first number be x

And second number be 27 - x

Their product = $x ( 27-x) = 182 \\ \implies {x}^{2} - 27x + 182 = 0 \\ \implies {x}^{2} - 13x-14x + 182 = 0 \\ \implies x(x-13) -14(x-13) = 0 \\ \implies (x-14)(x-13) = 0$

Either x = 13 or x = 14

If first number = 13 then,

second number = 27 - 13 = 14

If first number = 14 then,

second number = 27 - 14 = 13

Therefore the numbers are 13 and 14