SOLUTION: The total of 2 numbers is 35. Four times the larger number is 4 less than five times the smaller number. Find the two numbers.

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Question 338277: The total of 2 numbers is 35. Four times the larger number is 4 less than five times the smaller number. Find the two numbers.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
X+Y=35 OR X=35-Y
4X=5Y-4
4(35-Y)=5Y-4
140-4Y=5Y-4
-4Y-5Y=-4-140
-9Y=-144
Y=-144/-9
Y=16 ANS.
X=35-16=19 ANS.
PROOF:
4*19=5*16-4
76=80-4
76=76