Question

The sum of digits of a two digit number is 9. If 27 is subtracted from the number we get a two digit number with the sequence of digits changed. Find the number.

Answer 1

Answer:63

Step-by-step explanation:

Let the two digits be x and y.

Therefore,as per the question,

x+y=0...I

Now, after subtracting 27 from the number, the digits get reversed.

So, 10x+y-27=10y+x

=>9x-9y-27=0

=>x-y-3=0[dividing both sides by 9 ]...ii

Now, adding I and ii we get,

2x-12=0

=>x=6

Therefore,y=9-6=3

Therefore the required number is 63.