The value of a 2-digit number is 5 times the sum of the digits. What is the product of the digits ?

What is the digit at the 100th place of number (225)⁴⁰ ?

A 2-digit number is such that the sum of the number and the number obtained by reversing the order of the digits of the number is 55. Further, the difference of the given number and the number obtain…

What are the two natural numbers whose product is 2400 and the sum of whose squares is 5200?

What is the last digit of the sum S = 9²⁷ + 27⁹ ?

The product of the digits of a two-digit number is 36. If 45 is subtracted from the number, then the digits interchange mutually. The number is