Respuesta :
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.
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
-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