# Question #9133b

##### 3 Answers

The two numbers are

#### Explanation:

Given that: the sum of two numbers is 24

If one number is assumed to be

Also given that the product of the two numbers is 140 :

To solve it, we need two such numbers, which sum up to give the coefficient of the middle term, i.e.

Two such numbers are

If we take

and

If we take

That means, the two numbers are

Formulate the problem

#### Explanation:

These kinds of problems are easy to solve when you understand how to formulate them.

Let the numbers be

You can solve these in a couple of ways.

**Method 1.**

Then you have

Now you have 2 scenarios.

Solve

Solve

**Method 2**

Substitute and calculate.

Then you will get

10 and 14

#### Explanation:

There must be two equation to solve for two variables.

Let x equal one number

Let y equal the other number

One equation is

The other equation is

Solve the first equation for y

Substitute this value into the second equation.

Solve for x in both binomials

The two numbers are 10 and 14