Let's say they lost x games. Then they won (x + 26) games.
x + (x + 26) = 60 (the total number of games played)
2x+ 26 = 60
2x = 34
x = 17
The team lost 17 games and won x + 26 = 17 + 26 = 43 games.
Their overall record was 43-17 (which is pretty good in any sport)