Question

let us consider a three digit number receives the the first and last digit and get other number find the difference ie subtract the smaller number from the larger number divided by 99 you can observe that difference is divisible by 99 find the mathematics behind this game​

Answer 1

Step-by-step explanation:

Let the hundreds place digit be x,tens place digit be z and ones place digit be y

so the number is 100x+10z+y

If the digits of hundreds place and ones place are reversed the new number formed is

100y+10z+x

Now difference between the two numbers

=100x+10z+y-(100y+10z+x)

=100x+10z+y-100y-10z-x

=99x-99y=99(x-y)

which is a multiple of 99

So the difference of two numbers is divisible by 99.

hope you got it.