Question

find two number whose sum is 27 and product is 182

Answer 1

Hey !!!

Let the number be x
Then

the other number will be 27 - x

So according to the question


x × ( 27 - x ) = 182

27x - x2 = 182

x2 - 27x + 182 = 0

x2 - 14x - 13x + 182 = 0

x ( x - 14 ) - 13 ( x - 14 ) = 0


so x = 14 or x = 13



Then the number are 14 and 13

Answer 2

Hey!!!
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●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
If first number = 13, then
Other number = 27 - 13 = 14
If first number = 14, then
Other number = 27 - 14 = 13
Therefore, the numbers are 13 and 14.
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Hope it helps!!! :)