Answer :

Let the digit in the unit’s place be x


Then given the digit in the ten’s place is thrice the digit in the unit position = 3x


So the 2 digit number is 10(3x)+x………(i)


By reversing the position of the digits we get the new number as


10(x)+(3x)……..(ii)


Now according to the given criteria,


36 less than the initial number = 10(3x)+x-36=31x-36…..(iii)


So from question equation (ii) and equation (iii) are equal,


Hence


10(x)+(3x)= 31x-36


13x=31x-36


36=31x-13x


18x=36



From equation (i), the 2 digit number is


10(3x)+x=10(3×2)+2=10(6)+2=62


Hence the 2 digit number written by Raju is 62


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