if the sum of two digits of a two digit number is 9,if the digits are reversed the ration is 3:8 to orginal number..
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Let the required number be 10x+y.
Given :
x+y=9 -> eq1
Also 10x + y / 10y + x = 3/8
=> 80x + 8y = 30y+3x
77x =22y
=> 77x =22(9-x) By eq1
77x =198-22x
99x=198
|x=2|
From eq1, y =7
Thus required number =10(2) +7
=27
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