Question

In a two digit number,the ten digit is three times the unit digit .when the number is decreased by54,the digit are reversed .find the number

Answer 1

Two digit number = 10x + y

Ten's digit = x
Unit digit = y

According to the question
x = 3y. -(1)

10x + y - 54 = 10y + x
9x - 9y = 54
x - y = 6
3y - y = 6
y = 3

x = 3y = (3*3) = 9

Two digit number = 10x + y
=(10*9) + 3
=93