Question -
Answer -
Let us say, first number be x andthe second number is 27 – x.
Therefore, the product of two numbers
x(27 – x) = 182
⇒ x2 – 27x – 182 = 0
⇒ x2 – 13x – 14x + 182 = 0
⇒ x(x – 13) -14(x – 13) = 0
⇒ (x – 13)(x -14) = 0
Thus, either, x = -13 = 0or x – 14 = 0
⇒ x = 13 or x = 14
Therefore, if first number = 13, then secondnumber = 27 – 13 = 14
And if first number = 14, then second number =27 – 14 = 13
Hence, the numbers are 13 and 14.