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# Find Two Numbers Whose Sum is 27 and Product is 182

Struggling with math problems? Check here to find the simple steps to solve this math problem using factorization method.

by Ashnath Jeba

**Updated **Mar 15, 2024

**Find Two Numbers Whose Sum is 27 and Product is 182**

Here when you add two numbers, you will get ‘27’ and when you multiply the same numbers, you will get ‘182’. Let's find the two numbers now.

Let one number be ‘x’ and another number be ‘y’.

Then, the sum of two numbers will be:

x + y = 27 ….. (1)

The product of two numbers will be:

xy = 182 ….. (2)

You can also write (1) like this:

y = 27 - x

Substitute (y = 27 - x) in (2), you will get:

x (27 - x) = 182

27x - x² = 182

27x - x² - 182 = 0

This can be written as:

x² - 27x + 182 = 0

x² - 14x - 13x +182 = 0

x (x-14) - 13 (x -14) = 0

(x - 14) (x - 13) = 0

The value of x can be either 14 or 13.

If x = 14, y = 27 - 14

Then, y = 13

If x = 13, y = 27 - 13

Then, y = 14

So, the two numbers are **14** and **13**.

Let’s check the answer:

The sum of two numbers, 14 + 13 = 27

The product of two numbers, 14 x 13 = 182.

## Find Two Numbers - FAQs

1. What are the two numbers whose Sum is 27 and Product is 182?

The two numbers are 14 and 13.

2. What method was used to find the two numbers?

The method that was used to find the two numbers is factorization method.

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