Beat frequency = change in frequency = v2 - v1
From the information given,
When String A is played with String B, it creates a 3.0 Hz beat frequency. It means that
VB - VA = 3
When
String A is played with String C, it creates a 3.0 Hz beat frequency. It means that
VA - VC = 3
By adding both equations, wehave
VB - VC - VA + VA = 3 + 3 = 6
VB - VA = 6
If you play String B and C together, they would make a frequency of 6 Hz