In a 3-digit number, unit's digit is one more than the hundred's digit and ten's digit is one less than the hundred's digit. If the sum of the original 3-digit numbers and numbers obtained by changing the order of digits cyclically is 2664,find the number.
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Answer:
Let hundred digit =x
ten digit =x−1
unit digit =x−1
First form of Number =100×x+100(x−1)+x+1
=111x−9
Second form of Number =(x+1)100+x×10+x−1
=111x+99
third form of number =(x−1)100+(x+1)10+x
=111x−90
So 111x−9+111x+99+111x−90=2664
111x=2664
x=8
So the number 8×100+7×10+9
=879
is this ur answer
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