# The second of two numbers is 3 less than twice the first. Their sum is 36. How do you find the numbers?

##### 2 Answers

The second number would be 23, the first would be 13.

#### Explanation:

Using the clues given, we can determine that 2 equations are true:

For this we will assume that

#b = 2a - 3#

The second number is 3 less than 2 times the first

#a+b=36#

The sum of the numbers is 36.

We can then manipulate either equation to substitute in a variable, since

#a + (2a-3) = 36#

#3a - 3 = 36#

#3a = 39#

#a = 13#

Now that we have the first number, we can plug that value in for

#b = 2(13) - 3#

#b = 26 - 3#

#b = 23#

This gets us our two numbers, if needed, we can check by looking at the clues again and seeing if they fit, which they do.

Hope this helped!

Find 2 numbers

#### Explanation:

Call x the first number and y the second one.

We have two equations:

x + y = 36 (1)

y = 2x - 3 (2)

From (1) --> y = 36 - x. Substitute this value into (2):

36 - x = 2x - 3

3x = 39

x = 13 --> y = 36 - 13 = 23.

Check: y = 2(13) - 3 = 23. OK