Question 148801
If each dimension of a room is increased one meter, the area is increased by 51 meters; and if the length is increased one meter and the width diminished by one meter, the area is decreased three square meters. Find the dimensions of the room?
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Let the original dimensions be x and y.
Original area = xy sq meters
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Change dimensions:
New area - old area = 51
(x+1)(y+1)-xy = 51
(x+1)(y-1) -xy = -3 
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Rearrange:
x + y = 50
-x+ y = -2
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Adding you get:
2y = 48
y = 24 (one original dimention)
Then x = 26 (the other original dimention)
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Cheers,
Stan H.