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Question

State true or false:

The sum of the digits of a two-digit number is 9. Also, nine times this number is twice the number obtained by reversing the order of the digits. The number is 18.


A

True

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B

False

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Solution

The correct option is A

True


Let the unit digit and tens digits of the number be x and y respectively.
Then, the number will be 10y+x
Number after reversing the digits is 10x+y
According to the question,
x+y=9...(i)
9(10y+x)=2(10x+y)
88y11x=0
x+8y=0...(ii)
Adding equation (i) and (ii), we get
9y=9
y=1...(iii)
Putting the value in equation (i), we get
x=8
Hence, the number is 10y+x=10×1+8=18


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