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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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aman

  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

    check your problem, or your typing

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    Reiny

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