Question
Thu March 15, 2012 By: Mridul Mahajan
 

The sum of the digits of a 2 digit number is 9.Also 9 times the number is twice the number obtained by reversing the digits.Find the number.

Expert Reply
Thu March 15, 2012
Let the number be xy , x be tens digit and y be units digit
x+ y = 9
Original no = 10x+y , After reversing number = 10y+x
9(10x+ y) = 2(10y + x)
So
88x = 11y
y = 8x
On solving the two equations we get ,
x = 1 , y = 8
So number is 18
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