Question

how to find two numbers whose sum is 27 and product is 182​

Answer 1

Answer:

et the numbers be x and y,

x+y = 27

y = 27-x

Now,  two numbers are x  and 27-x

given,

x*(27-x) = 182

27x - x^2 = 182

0 = x^2 - 27x + 182

x^2 - 27x + 182 = 0

x^2 - (14 +13)x + 182 =0

x^2  - 14x -13x +182 = 0

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

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

x = 13 OR x =14

Now,

if x= 13, numbers are 13 and (27-13)  = 14

If x = 14, numbers are 14 and (27-13) =13

then, the numbers are 13 and 14

i hope this will help you

Step-by-step explanation:

Answer 2

Step-by-step explanation:

Solution :-

Let the required 1st number be x.

And the 2nd number be (27 - x).

According to the Question,

⇒ x(27 - x) = 182

⇒ 27x - x² = 182

⇒ x² - 27x + 182 = 0

⇒ x² - 27x + 182 = 0

⇒ x² - 13x - 14x + 182 = 0

⇒ x(x - 13) - 14(x - 13) = 0

⇒ (x - 13) (x - 14) = 0

⇒ x - 13 = 0 or x - 14 = 0

⇒ x = 13 or x = 14

hence the required number is 13 and 14.....

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