Let,
x = number of songs downloaded by Anna
y = number of songs downloaded by Ryelin
Then,
x + y = 895 ----- (1)
But, it is also indicated that,
y = x+177
Substituting for y in (1);
x+(x+177) = 895
2x + 177 = 895
2x = 895-177 = 718
x = 718/2 = 359 songs
y = x+177 = 359+177 = 536 songs
∴ Songs downloaded by Anna = 359 songs
Songs downloaded by Ryelin = 536 songs