Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method: A fraction becomes 1/3 when 1 is subtracted from the numerator and it becomes 1/4 when 8 is added to its 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:Places A and B are 100km apart on a highway.One car starts from A and another from B at the same time.If the car travel in the direction at different speeds,they meet in 5 hours.If they travel towared each other,they meet in 1 hour .What are the speeds of the two cars?

Form the pair of linear equations in the following problems,and find their solutions(if they exist) by the elimination method:(i)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 for the following problems and find their solutions by substitution method.(v)A fraction becomes 9/11,if 2 is added to both the numerator and the denominator.If 3 is added to both the numerator and the denominator it becomes 5/6.Find the fraction.

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method:(i) A part of monthly hostel charges is fixed and the remaining depends on the number of days one has taken food in the mess.When a student A takes food for 20 days she has to pay Rs 1000 as hostel charges whereas a student B,who takes food for 26 days,pays Rs 1180 as hostel charges.Find the fixed charges and the cost of food per day.

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

Form the pair of linear equations for the following problems and find their solutions by substitution method.(i) The difference between two numbers is 26 and one number is three times the other.Find them.

Form the pair of linear equations in the following problems,and find their solutions(if they exist) by the elimination method:(iii) The sum of the digits of a two-digit number is 9.Also nine times this number is twice the number obtained by reversing the order of the digits.Find the number.

Form the pair of linear equations in the following problems,and find their solutions(if they exist) by the elimination method:(ii) Five years age,Nuri was thrice as old as Sonu.Ten years later,Nuri will be twice as old as Sonu.How old are Nuri and Sonu?

Form the pair of linear equations in the following problems,and find their solutions(if they exist) by the elimination method:(iv)Meena went to a bank to withdraw Rs.2000.She asked the cashier to give her Rs.50 and Rs.100 notes only.Meena got 25 notes in all.Find how many notes of Rs 50 and Rs.100 she received.

Word Problem on Fraction A fraction will become 1/2 , if 2 is added to both its numerator and denominator, it will become 3/4 if 12 is added to both its numerator and denominator. Find the fraction.