Answer:
75
Step-by-step explanation:
2 digit number: tens digit (X), ones digit (X - 2)
2 digit number: 10 X + (X - 2) = 11X - 2
11x - 2 = 3 Y (must be divisible by 3)
x = (3Y + 2) / 11
possible number of 3Y + 2 should be multiple of 11
11 , 22, 33, 44, 55, 66, 77, 88, 99, 110
X: 1 , 2 , 3 , 4, 5, 6, 7, 8, 9, 10
2 digit number: 20, 31, 42, 53, 64, 75, 86, 97
75 is the largest 2 digit number can be divisible by 3 and digits differs by 2
We can check if the ones digit is (X) and tens digit (X+2), will give the same number
