The sum of the digits of a 2 digit number is 9. When 27 is added to the number, the digits get interchanged. Find the number.

If 999x + 888y = 1332 and 888 x + 999y = 555.then the value of (x + y) is-

The number of pairs of natural numbers the difference of whose squares is 45 will be –

What value will come in place of question mark (?) in the questions given below?
6⁹ × 36 ÷ 7776 = 6^? ÷ 216 

Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:

The average of five consecutive number is 26, then the multiple of the first and the last number is

A number is doubled and 9 is added. If the resultant is tripled, it becomes 75. What is that number? 

What will be remainder if (13)³ is subtracted from (66)² ?