Question

if xyz is three -digit number then, by which number xyz-x-y-z is divisible.

Answer 1

To get the greatest difference, we want to subtract a small number from a large one, so we will need the digit 9 and 1,to make numbers in 100s and the number 900s.

Let m be the digit from 2 to 8.

The larger three digit number will look like 9m1, while the smaller three digit number will look like 1m9.

Assume a three digits number lets say 189.

Then the largest possible three digit

number after rearranging above number is

981.

⇒981-189-792

Again assume a three digits number lets say 149.

Then the largest possible three digit number after rearranging above number is 941.

→941-149-792

As you see no matter what is the value vou are plugging for m their difference is constant i.e:792, which is the highest possible difference.

pls mark me as brainlist