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chairs round each of his tables-II

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by sanju09 » Thu Aug 28, 2014 11:03 pm
Rudolph wants to place an equal number of chairs round each of his 7 tables. When he plans to place x chairs round each of his tables, he's left with only 6 chairs to place round his seventh table, but when he plans to place y chairs round each of his tables, he's left with no chairs to place round his seventh table. If y > x > 6, which of the following CANNOT be the sum of x and y?
A. 19
B. 20
C. 25
D. 29
E. 33



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by shanelennox » Fri Aug 29, 2014 12:17 am
Should be B I think

6x + 6 = s(total number of seats)
6y + 0 = s

so 6x + 6 = 6y ---> x + 1 = y

This means x and y must be consecutive integers, so an even and an odd #, which results in an odd #. So cannot be 20, or B.
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