Question 162433
Let t be the tens digit and u be the units digit.

In that case, the number can be written as 10t + u   (eg 43 is 4 X 10 + 3)

We are told :
4t + u = 26    -------(1)

And we are also told :
t + 4u = 14 ----------(2)

multiplying (2) by 4 gives :
4t + 16u = 56 ------(3)

and subtracting (1) gives :

15u = 30
u=2
therefore t=6

Hence the number is 62 and the sum of its digits is 8.