SOLUTION: I need your help! The question: The difference between two numbers is 7. Twice the smaller number is 4 more than the larger number. find the numbers.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: I need your help! The question: The difference between two numbers is 7. Twice the smaller number is 4 more than the larger number. find the numbers.      Log On


   

Question 311095: I need your help! The question: The difference between two numbers is 7. Twice the smaller number is 4 more than the larger number. find the numbers.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
"The difference between two numbers is 7" ___ L - S = 7 ___ 2L - 2S = 14

"Twice the smaller number is 4 more than the larger number" ___ 2S = L + 4

adding equations (to eliminate S) ___ 2L - 2S + 2S = 14 + L + 4 ___ L = 18

substituting ___ 2S = (18) + 4 ___ S = 11