Question

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

Answer 1

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Simran Here !!!!

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$Let \: the \: first \: number \: be \: x \\ Let \: the \: second \: number \: be \: (27 - x) \\ \\ Now ,\: Acc.to \: statement : \\ \\ = > x(27 - x) = 182 \\ \\ = > 27x - x {}^{2} = 182 \\ \\ = > x {}^{2} - 27x + 182 = 0 \\ \\ = > x {}^{2} - 14x - 13x + 182 = 0 \\ \\ = > x(x - 14) - 13( x - 14) = 0 \\ \\ = > (x - 14)(x - 13) = 0 \\ \\ = > x = 13 \: and \: 14$
So , The Two numbers are 13 and 14....
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Answer 2

Answer:

13 and 14

Step-by-step explanation:

Let the two numbers we are dealing with are x and y.

It is given that the sum of the two numbers is 27.

Hence, x+y =27 ......... (1)

Again it is given that the product of the two numbers is 182.

Hence, xy =182 ....... (2)

Now, from equations (1) and (2), we can write that,

x(27-x)=182

⇒ x²-27x +182 =0

⇒ (x-14)(x-13) =0

⇒ x=14 or 13

Now, from equation (2), we can write, when x= 14 then y=13 and when x=14 then y= 13.

Therefore, the two numbers are 13 and 14. (Answer)