Question

find the whose sum is 27 and product is 182​

Answer 1

Find the number whose sum is 27 and product is 182​.

Answer

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

$x(27-x)=182$$

⇒27x−x² =182

⇒x ²  −27x+182=0

⇒x²

−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.

Answer 2

Answer:

Let the number be x.

• therefore,second no. will be 27-x
• according to question
• 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=14 or x=13
• thus the value of x is 14,13.