Question

A three digit number consists of 9 5 and one more number. When these digit are reversed and then subtracted from the original number the answer yeilded will be consisting of same digits arranged yet in different order. What is the other digit

Answer 1

Answer: 4

Step-by-step explanation:

Let the digit unknown be n.

The given number is then 900+50+n=950+n.

When reversed the new number is 100n+50+9=59+100n

Subtracting these two numbers we get 891-99n.

The digit can be arranged in 3 ways or 6 ways.

We have already investigated 2 of these ways.

We can now try one of the remaining 4 ways. One of these is n 95

100*n+90+5=891-99*n

=> 199*n =796

=> n=4

So the other digit is 4.