SOLUTION: Bill and Joe each have a certain number of marbles. If Bill gives Joe five marbles, Bill and Joe will have exactly the same number of marbles. If Joe gives Bill five marbles, the

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Question 651797: Bill and Joe each have a certain number of marbles. If Bill gives Joe five marbles, Bill and Joe will have exactly the same number of marbles. If Joe gives Bill five marbles, then Bill will have twice as many marbles as Joe. How many marbles does each boy have?
Answer by lwsshak3(11628) About Me  (Show Source):
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Bill and Joe each have a certain number of marbles. If Bill gives Joe five marbles, Bill and Joe will have exactly the same number of marbles. If Joe gives Bill five marbles, then Bill will have twice as many marbles as Joe. How many marbles does each boy have?
**
let x=number of marbles Bill has
let y=number of marbles Joe has
..
If Bill gives Joe five marbles:
(y+5)=number of marbles Joe would have
(x-5)=number of marbles Bill would have
And they would have exactly the same number of marbles
..
If Joe gives Bill five marbles:
(x+5)=number of marbles Bill would have
(y-5)=number of marbles Joe would have
And Bill will have twice as many marbles as Joe.
..
2 equations:
(x-5)=(y+5)
(x+5)=2(y-5)
..
x-5=y+5
x+5=2y-10
subtract
-10=-y+15
y=25
x=y+5+5=35
number of marbles Bill has=35
number of marbles Joe has=25