Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method :- The ratio of incomes of two persons is 9 : 7 and ratio of their expenditures is 4 : 3. If each of them saves ? 200 per month. Find their monthly incomes.

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 :-A fraction becomes 3/4 if 1 is subtracted from denominator. If 3 is added to both the numerator and 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 :-A number consisting of two-digits, is equal to 7 times the sum of its digits. When 27 is subtracted from the number, the digits interchange their places. Find the number

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method :- A part of monthly expenses of a family is constant and the remaining varies with the price of wheat. When the cost of wheat is Rs 250 a quintal, the total monthly expenses of the family are Rs 1000 and when it is Rs 240 a quintal, the total monthly expenses are Rs 980. Find the total monthly expenses of the family when the cost of wheat is Rs 350 a quintal

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method :- If in a rectangle, the length is increased and breadth is reduced by 2 units each, the area is reduced by 28 square units. If the length is reduced by 1 unit and breadth is increased by 2 units, the area is increased by 33 sq. units. Find the dimension of the rectangle.

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method :- The total expenditure per month of a household consists of a fixed rent of the house and mess charges depending upon the number of people sharing the house. The total monthly expenditure is ? 3900 for 2 people and 7500 for 5 people. Find the rent of the house and mess charges per head per month.

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method :-The sum of numerator and denominator of a fraction is 4 more than twice the numerator. If' the numerator and denominator are increased by 3, they are in the ratio 2:3. Find the fraction.

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method :- for which value of k the following linear pair of equations have no solution ? 3x + y=1 and (2k-1)x+(k- 1)y= 2k+1.

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method :-The sum of a two-digit number and the number formed by interchanging the digits is 110. If 10 is subtracted from the first number, the new number is 4 more than 5 times the sum of the digits in the first number. Find the number