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

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Question 136791: THe total of two numbers is 35. Four times the larger number is 4 less than five times the smaller.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
X+Y=35 OR X=35-Y
4Y=5X-4 NOW REPLACE X BY (35-Y) & SOLVE FOR Y
4Y=5(35-Y)-4
4Y=175-5Y-4
4Y+5Y=171
9Y=171
Y=171/9
Y=19 ANSWER FOR THE LARGER NUMBER.
X+19=35
X=35-19
X=16 ANSWER FOR THE LARGER NUMBER.
PROOF:
4*19=5*16-4
76=80-4
76=76