When a guitar string is sounded against a 440Hz note, 12 beats are heard in 2.0s.

a) what are the possible frequencies of the string?
b) when the same string is sounded against a 435Hz note, 33 beats are heard in 3.0s. What is the frequency of the string?

I honestly am very lost, I don't know how to solve these questions. Your help would be appreciated, thank you!

1 answer

the "beats" are the frequency differences

a) 440 Hz ± (12/2) Hz

b) 435 Hz ± (33/3) Hz

which frequency is in both possibilities?