SOLUTION: The difference between two numbers is 15. when twice the smaller number is subtracted from three times the larger number, the difference is 58. what is the larger number? Tha

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The difference between two numbers is 15. when twice the smaller number is subtracted from three times the larger number, the difference is 58. what is the larger number? Tha      Log On

Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo .
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 129968: The difference between two numbers is 15. when twice the smaller number is subtracted from three times the larger number, the difference is 58. what is the larger number? Thank you...
Answer by josmiceli(6786) About Me  (Show Source):
You can put this solution on YOUR website!
Call the larger number a
Call the smaller number b
a+-+b+=+15
b+=+a+-+15
3a+-+2b+=+58
3a+-+2%28a+-+15%29+=+58
3a+-+2a+%2B+30+=+58
a+=+58+-+30
a+=+28
The larger number is 28
check:
b+=+a+-+15
b+=+28+-+15
b+=+13
3a+-+2b+=+58
3%2A28+-+2%2A13+=+58
84+-+26+=+58
58+=+58
OK