SOLUTION: One number is 62 more than another number. If twice the greater number is subtracted from five times the lesser number, the result is 155. What are the two numbers?

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: One number is 62 more than another number. If twice the greater number is subtracted from five times the lesser number, the result is 155. What are the two numbers?      Log On


   



Question 519890: One number is 62 more than another number. If twice the greater number is subtracted from five times the lesser number, the result is 155. What are the two numbers?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x-y=62
5y-2x=155
1 x -1 y = 62 .............1
-2 x + 5 y = 155 .............2
Eliminate y
multiply (1)by 5
Multiply (2) by 1
5 x -5 y = 310
-2 x 5 y = 155
Add the two equations
3 x = 465
/ 3
x = 155
plug value of x in (1)
1 x + -1 y = 62
155 + -1 y = 62
-1 y = 62 -155
-1 y = -93
y = 93.00
155 ,93
m.ananth@hotmail.ca