# math

If a room were 2m longer and 3m broader its area would have increased by 16 sq m. if its were 1 metre shorter and 2m broader . the area would have increased by 16 sq m. find its lenght and breadth ?

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1. original room : x m by y m , area = xy

case1:
(x+2)(y+3) = xy + 16
xy + 3x + 2y + 6 = xy+16
3x + 2y = 10

case2:
(x-1)(y+2) = xy + 16
xy + 2x - y - 2 = xy+16
2x - y = 18

solve:
3x+2y=10
2x -y = 18
I get a negative value for y, which makes no sense

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