SOLUTION: if 3 times the smaller of two numbers is increased by the larger, the result is 63. if five times the smaller is subtracted from twice the larger, the result is 16. find the number

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: if 3 times the smaller of two numbers is increased by the larger, the result is 63. if five times the smaller is subtracted from twice the larger, the result is 16. find the number      Log On


   

Question 1010262: if 3 times the smaller of two numbers is increased by the larger, the result is 63. if five times the smaller is subtracted from twice the larger, the result is 16. find the numbers, please.
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Call the bigger, x, and the smaller, y.
Then we have
3y + x = 63 and
2x - 5y = 16
Solve the first for x and substitute into the second...we get
x = 63 - 3y
and
2(63 - 3y) - 5y = 16
126 - 6y - 5y = 16
-11y = -110
y = 10
x = 63 - 3(10) = 33