Question

pranar pick a three digit number and subtract it from the same number after reversing order of it digit. if the difference is divided by 9.find the remainder. lessen. प्लेन विद नंबर ​

Answer 1

Answer:

let number be abc where a<c

on reversing the order the number becomes cba⟹cba>abc

on subtracting cba−abc we get 10+a−c in ones place 9 in tens place and c−a−1 in hundreds place

for a number to be divisible by 9 the sum of the digits should be divisible by 9

⟹10+a−c+9+c−a−1=18 is always divisible by 9

∴ every three digit numdber satisfies the given condition