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

The sum fo digits of a two-digits number is 9.If 27 is subtracted from the number then digit interchange their places. Find the number.

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.

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

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method :- A two digit number is obtained by either multiplying the sum of the digits by 8 and adding 1, or by multiplying the difference of the digits by 13 and adding 2. 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 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 the elimination method : 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 number. Find the number.

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 any algebraic method :-When 3 is added to the denominator and 2 is subtracted from the numerator, a fraction becomes 1/4 .And when 6 is added to numerator and the denominator is multiplied by 3, it becomes 2/3 . Find the fraction