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

Answer: (D)

81

Answer 2

Let the unit and ten places of two digit number be x
and y respectively.
Then number will be 10y$$+$$x
According to question
2 (10y$$+$$x)=9(10x$$+$$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).