1. The digits of a two-digit number are in the ratio of 2 : 3 and the number obtained by interchanging the digit is bigger than the original number by 27. What was the original number ?






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  • By: anil on 05 May 2019 01.33 am
    Let the two digit number be XY. So, the value of the number equals 10X+Y
    When the digits are interchanged, the number becomes YX. So, the value of the number equals 10Y+X From the information given, we know that X:Y = 2:3 and (10Y+X)-(10X+Y) = 9Y-9X
    Hence, 9Y-9X = 27 or Y-X = 3 So, 3X=2Y and Y-X =3.
    Solving both the equations, we get X=6 and Y=9.
    So, the original number is 69
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