SOLUTION: 28. The difference between two numbers is 15. Four times the smaller plus six times the larger is 270. Find the larger number.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 28. The difference between two numbers is 15. Four times the smaller plus six times the larger is 270. Find the larger number.       Log On


   

Question 1020928: 28. The difference between two numbers is 15. Four times the smaller plus six times the larger is 270. Find the larger number.
Answer by FrankM(1040) About Me  (Show Source):
You can put this solution on YOUR website!
X is bigger than Y
X-Y=15
6X+4Y=270
multiply first equation by 4
4X-4Y=60
and add to 2nd equation
10X=330
X=33 Y=18