Question

Find two numbers whose sum is 27 and product is 182.
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Answer 1

Answer:

Let the first number be x then the second number will be 27−x.

x(27-x)=182

⇒27x−x  

2

=182

⇒x  

2

−27x+182=0

⇒x  

2

−13x−14x+182=0

⇒x(x−13)−14(x−13)=0

⇒(x−14)(x−13)=0

⇒x=14,13

If the first number is 14, then the second number is 13 and if the first number is 13, then the second number is 14.

Step-by-step explanation:

Hope it helps!!!!

Answer 2

Answer:

✯ Given :-

• Sum is 27 and product is 182.

✯ To Find :-

• What is the two numbers.

✯ Solution :-

» Let, the first number be x

» And, the second number be (27 - x)

➣ According to the question,

⇒ x(27 - x) = 182

⇒ 27x - x² = 182

⇒ x² - 27x + 182 = 0

⇒ x² - (13 + 14)x + 182 = 0

⇒ x² - 13x - 14x + 182 = 0

⇒ x(x - 13) - 14(x - 13) = 0

⇒ (x - 14) (x - 13) = 0

⇒ x - 14 = 0 , x - 13 = 0

⇒x = 14 , x = 13

➠ x = 14 , 13

$\therefore$ The two numbers are 13 and 14.

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