Question

Think of a 3 digit number whose digit are are the same for example
111,222,333,444,555,666,777,888,999,000

divide the 3 digit number by the sum of its digit your answer will be 37 for any such 3 digit number find out the trick behind it​

Answer 1

Let the digit we choose be x.

so our 3 digit number will be -

100x + 10x + x = 111x

we divide this number by x+x+x which is 3x

so 111x ÷ 3x = 111 ÷ 3 = 37

Hence, it is 37 for any digit x.