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 : The sum of a two digit number and another formed by reversing its digit is 99. Five added to the number yields 4 less than 6 times the sum of its digits. Determine the number.

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 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

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 : If twice the son's age in years is added to the father's age, the sum is 70. But if twice the father's age is added to the son's age, the sum is 95. Find the ages of father and son.

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

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.

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.