The sum of two numbers is 67 one number is 14 less than twice the other number find the two numbers define your variables

If the other number is x, then the first can be expressed as 2x-14. Then the sum of the numbers is

x + 2x - 14 = 67

3x - 14 = 67

3x = 81

x = 27

2x - 14 = 40

The numbers are 27 and 40.

-We need to start by first declaring variables to our numbers. We will use 'a' for the first number and 'b' for the second number.

-These are what the equations would look like because of what was said in the description.

a + b = 67

a = 2b - 14

now we can substitute 'a' into the first equation since it is given to us.

(2b - 14) + b = 67

-Now we can simplify until we get 'b' alone

3b - 14 = 67

3b = 81

b = 27

-Now, substitute 'b' into the first equation and simplify until 'a' is alone.

a + 27 = 67

a = 40

-To check this we can substitute our answers into the second equation since we already know it works on the first one.

(40) = 2 (27) - 14

40 = 54 - 14

40 = 40

-So in conclusion your answers would be:

First number (a) = 40

Second number (b) = 27