SOLUTION: The sum of two numbers is 11. If the greater number is divided by the smaller number, the potential quotient is 2 and the remainder is 2. Find the numbers, using algebra. I cant

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Question 205702: The sum of two numbers is 11. If the greater number is divided by the smaller number, the potential quotient is 2 and the remainder is 2. Find the numbers, using algebra.
I cant figure out how to set this up. PLEASE HELP!!!
Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be larger of two variables, y the other
.
(1) x+y=11,,,,,or x=11-y
.
(2) x/y = 2 +Rem 2 = 2 + 2/y
.
subst (1) into (2)
.
(11-y) /y = 2 + 2/y
.
multiply thru by y
.
11-y = 2y +2
.
11-2=2y+y
.
9=3y
.
3=y,,,,,,,,,x=11-y=11-3=8
.
.
CHECK,,,(1) 8+3=11,,,,ok
.
(2) 8/3=2 +2/3,,,,,ok