SOLUTION: The sum of two numbers is 59. If the sum of 12 and twice the first number is four more than the second number, what are the numbers?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The sum of two numbers is 59. If the sum of 12 and twice the first number is four more than the second number, what are the numbers?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 453890: The sum of two numbers is 59. If the sum of 12 and twice the first number is four more than the second number, what are the numbers?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of two numbers is 59. If the sum of 12 and twice the first number is four more than the second number, what are the numbers?
---
Equations:
x + y = 59
12+2x = y+4
----
Rearrange to get:
x + y = 59
2x- y = -8
---------------
Add and solve for "x":
3x = 51
x = 17 (1st number)
---
Solve for "y":
17 + y = 59
y = 42 (2nd number)
========================
Cheers,
Stan H