# The larger of 2 numbers is 11 less than 3 times the smaller. The sum is 69. what are the numbers?

##### 3 Answers

#### Explanation:

Let the no.s be

According to the question,

~Hope this helps! :)

20 and 49

#### Explanation:

Let's have the smaller number be represented by a variable

Our next step is to substitute one equation into another. That way, we can form an equation with only one variable in it. Let's put our first equation into the second one:

From here, all we have to do is simplification:

We have our smaller number,

We now have our larger number

The larger number is 49, and the smaller number is 20

#### Explanation:

It's easiest to make the questions into equations so that they are easier to understand.

I'm going to abbreviate "larger number" to L and "smaller number" to S.

**When we see:** The larger number is 11 less than 3 times the smaller number

**We can say:**

**When we see:** The sum is 69

**We can say:**

Let's substitute the first equation into the second one. Since

Now that we know

**CHECK**: