Question

Find two no. whose sum is 27 and product is 182.
plz answer ​

Answer 1

13 and 14.

Step-by-step explanation:

Given -

• Sum of two numbers is 27.
• Product of two numbers is 182.

To find -

• The two numbers.

Solution -

Let the two numbers be x and y.

According to the first statement , x + y = 27

→ x = 27 - y (putting in 1)

Now , according to the second statement ,

xy = 182 -------(1)

→ (27 - y)y = 182

→ - y² + 27y = 182

→ y² - 27y + 182 = 0

→ y² - 13y - 14y + 182 = 0

→ y(y - 13) - 14(y - 13) = 0

→ (y - 13)(y - 14) = 0

→ y = 13 , y = 14

Case A

y = 13 (putting in 1)

→ x(13) = 182

→ x = 182/13

→ x = 14

Therefore, the two numbers are 13 and 14.

Case B

y = 14 (putting in 1)

→ x(14) = 182

→ x = 182/14

→ x = 13

Therefore, the two numbers are 14 and 13.