# Sakib Knows The Number!

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Ragib: I got digits of a 2 digit number
Sakib: Is it an odd?
Ragib: Yes. Moreover, the sum of the digits of the number is a prime!
Sakib: The difference of the digits of the number is also a prime?
Ragib: Of course! Last of all, the multiply of the digits is equal to one of the digits!!
Sakib: Oh no! I know the number. It’s your roll number!
What is that number!

thesucker Expert Asked on 6th June 2016 in

61

Yodha Expert Answered on 6th June 2016.

41

venkatarameshbabu Starter Answered on 7th June 2016.

The digits may be 1,2,3,4,5,6,7,8,9,0.
Since two digit number, 0 can only be put in the second digit position.
But that will make the number even. So 0 is not any of the digits!!
1* any digit=1 or the digit
2*any digit(not 1) = not 2 or not the digit
3*any digit(not 1) = not 3 or not the digit
4*any digit(not 1) = not 4 or not the digit
5*any digit(not 1) = not 5 or not the digit
6*any digit(not 1) = not 6 or not the digit
7*any digit(not 1) = not 7 or not the digit
8*any digit(not 1) = not 8 or not the digit
9*any digit(not 1) = not 9 or not the digit
So its clear one digit is 1.
So the number may be 11,21,31,41,51,61,71,81,91.
But the sum of the 2 digit is also a prime!
So 31,51,71,81,91 will be ignored!
Now the answer may be 11,21,41,61
But the difference of the digit also is a prime!!
So 11,21 will be ignored!!!!
What a puzzle…!!!

LOL Guru Answered on 7th June 2016.

numbers that follow  odd and sum of digits is a prime are :11,21,23,25,29,41,43,49,61,65,67,83,85.
among these numbers follows “difference of digits also prime” are : 25,29,41,47,49,61,83,85.
last but not least , product of digits is same as one of it’s  digits means one digit should be 1.
So Answer is 41 or 61.

Sathya Curious Answered on 26th July 2016.

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