SOLUTION: Question:The larger of 2 numbers is 6 more than 3 times the smaller. When the larger is divided by the smaller the quotient is 4 and the remainder is 1. Find both numbers Pleas

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Question:The larger of 2 numbers is 6 more than 3 times the smaller. When the larger is divided by the smaller the quotient is 4 and the remainder is 1. Find both numbers Pleas      Log On


   

Question 605262: Question:The larger of 2 numbers is 6 more than 3 times the smaller. When the larger is divided by the smaller the quotient is 4 and the remainder is 1. Find both numbers
Please help! I have tried but I'm confused what to do with the denominator!
Thank you
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
"The larger of 2 numbers is 6 more than 3 times the smaller" ___ L = 3s + 6

"When the larger is divided by the smaller the quotient is 4 and the remainder is 1" ___ L / s = 4 + (1/s)
___ multiplying by s ___ L = 4s + 1

substituting ___ 3s + 6 = 4s + 1

solve for s, then substitute back to find L