Find the number whose sum is 27 and product is 182
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Step-by-step explanation:
Let the first number be x and the second number is 27 - x.
Therefore, their product = x (27 - x)
It is given that the product of these numbers is 182.
Therefore, 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
Either x -13 = 0 or x - 14 = 0
x = 13 or x = 14
Therefore, the numbers are 13 and 14.
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