Ranji Trophy in the home matches is taken very seriously and each individual’s results studied in great detail after every match. In one match
early in the season, Gagan and Balaji, two of the country’s favourite players, each scored 33 before being caught out. This has the effect of
lowering Gagan’s batting average by one run, but raising Balaji average by one. If, before this match, Gagan has scored twice as many runs as
Balaji and they had each had the same number of innings, what are their batting averages ?