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In a certain conference room each row of chairs has the same

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In a certain conference room each row of chairs has the same [#permalink] New post 13 Apr 2007, 22:03
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In a certain conference room each row of chairs has the same number of chairs, and the number of rows is 1 less than the number of chairs in a row. How many chairs are in a row?

1) There is a total of 72 chairs
2) After 1 chair is removed from the last row, there is a total of 17 chairs in the last 2 rows

I chose B but OA is D... how do you go about this one?
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 [#permalink] New post 13 Apr 2007, 22:55
Hi answer is D

Since you already got answer through 2) as u chose B, I will solve for 1)


suppose conference room has X rows, so the number of chairs in each row will be X+1.

from 1) we have X(X+1) = 72... or X^2 + X - 72 = 0

solving the quadratic equation we have X = -9 or 8... now -9 is not possible hence X = 8... so 1) is also sufficient.

hence answer is D

regards,

Amardeep
  [#permalink] 13 Apr 2007, 22:55
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