Question

Subtract 20,352 from the number we get after reversing its digits.

Answer 1

Answer:-

let ab is a two digit number.

Then reversing number is ba

ab−ba=(10a+b)−(10b+a)

ab−ba=9(a−b)

ab−ba is perfect cube number and multiple of 9

So, perfect cube can be 27, therefore, a−b=3

For, bigger perfect cubes a−b is two or three digit numbers which is not possible.

In above equation, b=0 to 6, for b>6, a becomes double digit number.

For b=0,a=3 and number is 30

For b=1,a=4 and number is 41

For b=2,a=5 and number is 52

For b=3,a=6 and number is 63

For b=4,a=7 and number is 74

For b=5,a=8 and number is 85

For b=6,a=9 and number is 96

So, these are possible numbers.