# The sum of two numbers is 37. Their product is 312. What are the numbers?

##### 2 Answers

#### Explanation:

Let the numbers be represented by

The sum of two numbers is

Their product is

Solving simultaneously;

From

Making

Substitute

Multiply through by

Solving the Quadratic Equation..

Using Factorization Method

The factors are,

Therefore;

By Grouping;

Factorizing;

Substituting the values of

When,

Similarly when,

Hence;

The two numbers are : 13 and 24

#### Explanation:

Let

sum =

and product

Subst.

Now ,

So, from

Hence the two numbers are : 13 and 24