One of the most important and exam oriented question from linear equations in two variables in which we have been asked to find the length and breadth of a room if its length is 3 m more than its breadth and if its length increases by 3 m and breadth decreases by 2 m, it’s area remains unaffected
Kindly give me a detailed solution of this question
RS Aggarwal, Class 10, chapter 3E, question no 38
Let the breadth of the room be x m.
Therefore, length =x+3 m
According to the given condition,
x(x+3)=(3+x+3)(x−2)
3x+x2=(6+x)(x−2)
3x+x2=6x−12+x2−2x
x=12
Therefore, length = x+3=15m
Breadth = x=12m