Question

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

Answer 1

$\huge\boxed{\fcolorbox{white}{pink}{Answer}}$

Let us say, first number be x and the second number is 27 – x.

Therefore, the product of two numbers

x(27 – x) = 182

⇒ x^2 – 27x – 182 = 0

⇒ x^2 – 13x – 14x + 182 = 0

⇒ x(x – 13) -14(x – 13) = 0

⇒ (x – 13)(x -14) = 0

Thus, either, x = -13 = 0 or x – 14 = 0

⇒ x = 13 or x = 14

Therefore, if first number = 13, then second number = 27 – 13 = 14

And if first number = 14, then second number = 27 – 14 = 13

Hence, the numbers are 13 and 14.

Answer 2

$\huge\star\underline\mathfrak\red{Answer:-}$$<font color = red>$

Lets consider,

First number be x and the second number is 27 – x.

Therefore, the product of two numbers= x(27 – x) = 182

⇒ x^2 – 27x – 182 = 0

⇒ x^2 – 13x – 14x + 182 = 0

⇒ x(x – 13) -14(x – 13) = 0

⇒ (x – 13)(x -14) = 0

Thus, either, x = -13 = 0 or x – 14 = 0

⇒ x = 13 or x = 14

Therefore, if first number = 13, then second number = 27 – 13 = 14

And if first number = 14, then second number = 27 – 14 = 13

Hence, the numbers are 13 and 14.