Iam trying to figure out how to write out and solve: the first number is 5 less than the second number. four times the first number plus 5 times the second number is 74. find the numbers

OK, I will try my best to help you out, young lad. Just kidding, I am young too!
OK, so first you have to assign variables.  
Let's make the first number = x-5
the second number is =x
Now, set up an equation
4(x-5)+5(x)=74
Use the distributive property to simplify the equation.
4x-20+5x=74
simplify the problem to find x
9x-20=74
9x=94
x=10.4 or 94/9
Now, apply the answer..
We know that the second number, x = 10.4 ( or 94/9), so the larger number is...
94/9 - 5= 49/4 of 5.4
so the answers are
first number= 5.4 (fraction form- 49/4)
second number= 10.4 (94/9)