Question

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

Answer 1

Answer:

• 13 and 14.

Step-by-step explanation:

Given

• Sum of two numbers = 27
• Product of two numbers = 182

To find

• The two numbers.

Solution

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

Then, accordingly,

• (x)(27 - x) = 182
• 27 - x² = 182
• 27 - x² - 182 = 0
• x² - 27x + 182 = 0

14 × 13 = 182 & -14 - 13 = -27

• x² - 14x - 13x + 182 = 0
• x(x - 14) - 13(x - 14) = 0
• (x - 14) (x - 13) = 0
• x = 14 & x = 13

∴ The required numbers are 13 and 14.

Answer 2

Answer:

Step-by-step explanation:

−13x−14x+182=0

⇒x(x−13)−14(x−13)=0

⇒(x−14)(x−13)=0

⇒x=14,13