a number consist of 2 digits the digit in the unit place is thrice that inthe ten's place and if 1 is added to sum of the digits the addition is equal to onethird of the number.find the number

Answer 1

1/3(10t + u ) = t + u + 1

3t = u

1/3 (10t + 3t) =t + 3t +1
1/3 13t = 4t + 1
13t = 12t + 3
t = 3
u = 9

check: 1/3(39) = 3 + 9 + 1
yes 13 = 13