# One number is 2/3 of another number. The sum of the two numbers is 10. How do you find the two numbers?

##### 2 Answers

The two numbers are

#### Explanation:

Let one number be represented as

According to the problem:

From the second equation we get:

Replacing the value of

Multiplying both sides by

Opening the brackets and simplifying we get:

Add

Divide both sides by

Since from the second equation we have:

substituting

Subtract

The numbers are 4 and 6.

#### Explanation:

This question can also be done by using just one variable.

Define each variable and then form an equation.

Let the larger number be

The other number is

The sum of the numbers is 10.

The numbers are 4 and 6.