From the pair of linear equations in the following problems and find their solutions (if they exist) by elimination method : If a room were 2 m longer and 3 m broader then its area would have increased by 75 sq. m. If it were one metre shorter and 2 metres broader, the area would have increased by 16 sq.m. find its lenght and breadth .

From the pair of linear equations in the following problems and find their solutions (if they exist) by elimination method : There are rs 2 and rs 5 coins in a purse. If there are 60 coins of value rs 195, find the number of coins of each kind.

From the pair of linear equations in the following problems and find their solutions (if they exist) by elimination method : Find the fraction which becomes equal to 1/3 when the numerator is increased by 1 and equal to 1/4 when denominator is increased by 1.

From the pair of linear equations in the following problems and find their solutions (if they exist) by elimination method : A certain number of two digits is three times the sum of its digits and if 45 be added to i,t the digits will be reversed. Find the number.

From the pair of linear equations in the following problems and find their solutions (if they exist) by elimination method : If we add 3 to the numerator and subtract 2 from the denominator, a fraction becomes 2. It also becomes 1/2 if we add 1 to the denominator. Find the fraction.

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method :- The area of a rectangle is reduced by 9 sq. metres if its length is reduced by 5 metres and the breadth is increased by 3 metres. If we increase the length by 3 units and the breadth by 2 units, area increases by 67 square units. Find the length and breadth of the rectangle.

From the pair of linear equations in the following problems and find their solutions (if they exist) by elimination method : If the numerator is multiplied by 2 and denominator is reduced by 5, the fraction becomes 6/5 and if the denominator is doubled and the numerator is increased by 8, the fraction becomes 2/5 . Find the fraction

From the pair of linear equations in the following problems and find their solutions (if they exist) by elimination method : A man wanted to exchange Rs 1000 in 2 types of notes of Rs 5 and Rs 10 denominations. If he has 180 notes in all, find the number of notes of each kind.

From the pair of linear equations in the following problems and find their solutions (if they exist) by elimination method : Seven times a given two digit number is equal to four times the number obtained by interchanging the digits and the difference of digits is 3. Find the number

Form the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method : If we add 1 to the numerator and subtract 1 from the denominator, a fraction reduces to 1. It becomes 1/2 if we only add 1 to the denominator. What is the fraction?

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method :- The area of a rectangle gets reduced by 80 sq. units if its length is reduced by 5 units and the breadth is increased by 2 units. If we increase the length by 10 units and decrease the breadth by 5 units, the area is increased by 50 sq. units. Find the length and breadth of rectangle.