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# The 2 Shepherds

Tue 23 Jun, 2009 03:17 pm
There are 2 shepherds. Shepherd 1 asks Shepherd 2 to give him one of his sheep so shepherd 1 would have twice as many sheep as shepherd 2. Shepherd 2 denies his request and gives another offer. Shepherd 2 asks Shepherd 1 to give him one of his sheep so both shepherds would have the same same amount of sheep. How many sheep did shepherd 1, and 2 have?
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solipsister

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Wed 24 Jun, 2009 04:32 am
@raul44,
let x = shepherd1 and y = shepherd 2

x+1 = 2 times(y-1), and simplifying x+1 = 2y-2 gives x =2y-3 in the first equation

y+1 = x-1 in the second equation, and substituting for x in equation 2 gives

y+1= (2y-3) -1 therefore y= 5 and solving gives x= 7
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