Answer: Jenny downloaded 536 and Diamond downloaded 359 MP3 songs.
Step-by-step explanation:
Let x and y are the number of MP3 songs downloaded by Jenny and Diamond respectively.
Then from the given question ,we have the following statements :
[tex]x-y=177................(1)\\\\x+y=895.................(2)[/tex]
Now to solve the system of equations, add both the equations, we get
[tex]2x=1072\\\\\Rightarrow\ x=\dfrac{1072}{2}=536[/tex]
Then , using equation (1), we get
[tex]y=x-177=359[/tex]
Hence, Jenny downloaded 536 and Diamond downloaded 359 MP3 songs.