SOLUTION: One number is 1 less than a second number. Twice the second number is 20 less than 4 times the first. Find the two numbers. I have tried dividing 20 by 4 and adding 1 but that

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: One number is 1 less than a second number. Twice the second number is 20 less than 4 times the first. Find the two numbers. I have tried dividing 20 by 4 and adding 1 but that      Log On


   

Question 377756: One number is 1 less than a second number. Twice the second number is 20 less than 4 times the first. Find the two numbers.

I have tried dividing 20 by 4 and adding 1 but that still does not work I know the answer is 11 and 12 but I would like to know how to figure it out on my own
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let f=first and s=second

"One number is 1 less than a second number" ___ f = s - 1

"Twice the second number is 20 less than 4 times the first" ___ 2s = 4f - 20

substituting the value of f ___ 2s = 4(s - 1) - 20

2s = 4s - 4 - 20 ___ 24 = 2s ___ 12 = s

f = (12) - 1 = 11