SOLUTION: The difference between two numbers is 12. If 20 is added to twice the larger number the result is 4 more than 3 times the smaller number. Find the two numbers.

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The difference between two numbers is 12. If 20 is added to twice the larger number the result is 4 more than 3 times the smaller number. Find the two numbers.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 95280: The difference between two numbers is 12. If 20 is added to twice the larger number the result is 4 more than 3 times the smaller number. Find the two numbers.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The difference between two numbers is 12.
The two numbers are: x and (x+12)

If 20 is added to twice the larger number the result is 4 more than 3 times the smaller number.
2(x+12) + 20 = 3x + 4
2x + 24 + 20 = 3x + 4
2x + 44 = 3x + 4
2x - 3x = 4 - 44
-1x = -40
x = +40
;
Find the two numbers.
The numbers are 40 and 52
:
:
Check solutions in the equation:
2(52) + 20 = 3(40) + 4
104 + 20 = 120 + 4