Raju wrote a numb

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