**Find two numbers whose sum is 27 and product is 182** – This is very important question for all comptative exams and All classes. If you are a student or find answer of this question so you have visited right place here. Today i will be sharing “Find two numbers whose sum is 27 and product is 182 ” answers with 2 easy method.

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

Both method is easy because question is so easy. But this is very important question so don’t ignore. Let’s go to solutions of this question.

#### Method 1

Let the first number be *x* and the second number is 27 – *x*.

Therefore, their product = *x* (27 – *x*)

It is given that the product of these numbers is 182.

Therefore, *x*(27 – *x*) = 182

⇒ *x*^{2} – 27*x* + 182 = 0

⇒ *x*^{2} – 13*x* – 14*x* + 182 = 0

⇒ *x*(*x* – 13) -14(*x* – 13) = 0

⇒ (*x* – 13)(*x* -14) = 0

Either *x* = -13 = 0 or *x* – 14 = 0

⇒ *x* = 13 or *x* = 14

If first number = 13, then

Other number = 27 – 13 = 14

If first number = 14, then

Other number = 27 – 14 = 13

Therefore, the numbers are 13 and 14.

#### Method 2

Let the first number = x

Given that sum is 27

Then second number is = 27 – x

Given that product is 182.

So that

x(27 – x) = 182

27 x – x^{2} – 182 = 0

x^{2} – 27 x + 182 = 0

now factorize it we get

**Thus the two numbers are 13 and 14**

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