We want to find two numbers that meet the given restrictions, by solving a system of equations we will find that the two numbers are 15 and 64.
First, we define the two numbers as A and B.
From the given information we can write two equations:
A + B = 79
And the other one "79 when 5 is subtracted from thrice one of the numbers the result is 5 / 8 times the other number" can be written as:
3*A - 5 = (5/8)*B
So we need to solve a system of equations:
A + B = 79
3*A - 5 = (5/8)*B
We need to isolate one of the variables in one of the equations, I will isolate A on the first one:
A = 79 - B
Now we can replace that in the other equation:
3*(79 - B) - 5 = (5/8)*B
232 - 3*B = (5/8)*B
232 = 3*B + (5/8)*B = (29/8)*B
232*(8/29) = B = 64
Now that we know the value of B, we can use:
A = 79 - B = 79 - 64 = 15
So the two numbers are 64 and 15.
If you want to learn more about systems of equations, you can read:
https://brainly.com/question/13729904
