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 :)