Question

Two times a two-digit number is 9 times the number obtained by reversing the digits and sum of the digits is 9. The number IS

• A. 72
• B. 54
• C. 63
• D. 81

Answer 1

The Correct Option is D

Let the unit and ten places of two digit number be x
and y respectively.
Then number will be 10\(y\)\(+\)\(x\)
According to question
2 (10\(y\)\(+\)\(x\))=9(10\(x\)\(+\)\(y\)) ……..(i)
and \(x\) \(+\) \(y\) = 9 …….(ii)
From equation (i) and (ii), we get
\(x\) =1 and \(y\) =8
Hence number=81
 
So the correct option is (D).