The length of a room exceeds its breadth by 3 metres. If the length is increased by 3 metres and the breadth is decreased by 2 metres, the area remains the same. Find the length and the breadth of the room.

Ans: length = 15 m, breadth = 12 m

Let the length and breadth of the room be l and b meters respectively.


According to question -


l - b = 3.....(1)


and,


lb = (l + 3)(b - 2)


⇒ lb = lb - 2l + 3b - 6


⇒ 2l - 3b = - 6.....(2)


Subtracting equation (2) from [3 × equation (1)], we get -


l = 15


Substituting the value of l in equation (1), we get -


b = 12


Thus, Length of room = 15 meters and breadth of room = 12 meters.


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