# Find Two Numbers whose Sum is 27 and Product is 182.

By BYJU'S Exam Prep

Updated on: September 25th, 2023

To find: two numbers whose sum is 27 and product is 182.

Let us assume that the first number is x and the second number is y.

In the question, it is given that the sum of two numbers is 27.

So, x + y = 27 (equation 1) and

the product of two numbers is x × y = 182 (equation 2)

From equation 1: x + y = 27

So, y = 27 – x (equation 3)

Putting the value of equation 3 in equation 2, we will get:

x × y = 182

x × (27 – x) = 182

27x – x2 = 182

27x – x2 – 182 = 0

x2 – 27 x + 182 = 0

x2 – 14x – 13x + 182 = 0

x (x – 14) – 13 (x – 14) = 0

(x -13) (x – 14) = 0

x – 13 = 0 and x – 14 = 0

x = 13 and x = 14

Therefore, two numbers whose sum is 27 and product 182 are 13 and 14.

## Two Numbers whose Sum is 27 and Product 182

13 and 14 are the two numbers whose product is 182 and sum is 27. The process of adding two or more numbers is called sum. To put it another way, adding two or more numbers together results in a new total. The sign of sum or addition is “+”.

Product in Mathematics is the multiplication of two or more numbers. Every element of the problem has a name when you multiply. The symbol of product or multiplication is “×”. The multiplicand, multiplier, and product all appear in a multiplication sentence.

Example – 22 x 2 = 44

Here, 22 is multiplicand, 2 is multiplier, and 44 is the product of multiplication.

Summary:

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

The two numbers whose sum is 27 and product 182 are 13 and 14. To find these numbers, it is important to form equations on the basis of the question statement. After forming the equations, solve them to obtain the required answer.

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