Question 9838
Let x = ten's digit


Since the sum of the digits is 8, that makes the unit's digit to be 8-x.


The equation is in the second sentence, which says that the ones and tens digits are the same.  This means that:
x = 8-x


Add x to each side:
x+x = 8-x +x
2x = 8
x= 4
8-x= 4.


Therefore the number is 44.


R^2 at SCC