Question

How many three digit numbers is there such that when middle digit removed they become a two digit number is 1/9 of the three digit number​

Answer 1

Answer:

Let the 3 digit number be: XYZ.

As per the question, we have to find the divisibility of number P (let),

P=(100X+10Y+Z)(X+Y+Z)

P=(99X+9Y)

P=9(11X+Y)

which is divisible by 9.

So, if the sum of three digit number is subtracted from the number. The resulting number is always divisible by 9