SOLUTION: The difference of two numbers is 33. If four times the lesser number is subtracted from three times the greater number, the difference is 62. Find the numbers.

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: The difference of two numbers is 33. If four times the lesser number is subtracted from three times the greater number, the difference is 62. Find the numbers.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 362937: The difference of two numbers is 33. If four times the lesser number is subtracted from three times the greater number, the difference is 62. Find the numbers.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
X-Y=33 OR X=33+Y
3X-4Y=62
3(33+Y-4Y=62
99+3Y-4Y=62
-Y=62-99
-Y=-37
Y=37 ANS. FOR THE LESSER NUMBER.
X-37=33
X=33+37
X=70 ANS. FOR THE LARGER NUMBER.
PROOF:
3*70-4*37=62
210-148=62
62=62