The sum of three times a number and 11 is 32. Find the number.

The sum of three consecutive numbers of an A.P. is 27 and their product is 504. Find the numbers.

The sum of three numbers in G.P. is 42. If the first two numbers are increased by 2 and third is decreased by 4, the resulting numbers form A.P. Find the numbers of G.P.

The sum of three numbers is 20. Three times the first number added to the sum of second and third is 46. Twice the third number added to the first is 23. Find the numbers using matrices.

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

The sum of three consecutive multiples of 11 is 363. Find these multiples.