Let's denote the number of listens for the first song as
-
The initial listens for the first song:
where is the number of days since the beginning of the month. -
The initial listens for the second song:
We want to find the value of
Now, we can solve this equation for
-
Subtract
from both sides: -
Subtract 600 from both sides:
-
Divide both sides by 4:
Therefore, the two songs will have the same number of listens after 25 days.