Question

the sum of the numbers of two digits and of the numbers formed by reversing the digits is 110. and the difference of the digits is 6.

Answer 1

1st digit = x 
2nd digit = x -6 

(10x +(x -6)) + (10(x -6) +x) = 110 
10x +x -6 +10x -60 +x = 110 
22x = 110 +6 +60 
22x = 176 
x = 176/22 
x = 8 

1st digit = x = 8 
2nd digit = x -6 = 8 -6 = 2 
Your number: 82 
Check: 82 + 28 = 110, 8 -2 = 6