If a room were 2 metre longer and 3 metre broader, its area would have increased by 75 sq.m. If it were 1 metre shorter and 2 metre broader its area would have increased by 16 sq.m. Find its lenghth and breadth.

IT IS ALSO A EASY QUESTION

LET LENGTH OF ROOM = X AND BREADTH OF ROOM =Y

AREA OF ROOM=XY

WE HAVE GIVEN TWO LINEAR EQUATIONS

(X+2)(Y+3)=XY+75

-->XY+3X+2Y+6=XY+75

-->3X+2Y=69-----1

(X-1)(Y+2)=XY+16

-->XY+2X-Y-2=XY+16

-->2X-Y=18------2

NOW WE HAVE TWO LINEAR EQUATION 1 & 2

NOW BY EQUATING AND SOLVING ,WE GET,

X=15m=LENGTH 

Y=12m=BREADTH

HAVE FUN  :)

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