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.Com
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)   (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

RELATED QUESTIONS

One number is 1 less than a second number. Twice the second number is 4 less than 3 times (answered by checkley77)
One number is 4 less than a second number. Twice the second number is 1 less than 3 times (answered by mananth)
one number is 3 less than a second number. twice the second number is 4 less than 3 times (answered by ankor@dixie-net.com)
One number is 7 less than a second number. Twice the second number is 4 less than 5 times (answered by oberobic)
One number is 5 less than a second number. Twice the second number is 8 less than 4 times (answered by ankor@dixie-net.com)
one number is 3 less than a second number. Twice the second number is 16 less than 4... (answered by ReadingBoosters)
one number is 4 less than a second number. Twice the second number is 25 less than 5... (answered by greenestamps)
One number is 1 less than a second number. Twice the second number is 31 less than 5... (answered by lwsshak3)
Solve the problem: One number is 1 less than a second number. Twice the second number... (answered by stanbon,MathLover1)
one number is 3 times less than a second number. twice the second number is 30 more than... (answered by knighty2002uk)