Mr. Winkle downloaded 34 more songs than Mrs. Winkle downloaded. Together they downloaded 220 song

Mr. Winkle downloaded 34 more songs than Mrs. Winkle downloaded. Together they downloaded 220 songs. How many songs did each download?

Let x = Mr. Winkle downloads and y = Mrs. Winkle downloads.

We then have x = y + 34 and x + y = 220.

Substitute equation 1 into equation 2, we have:

(y + 34) + y = 220
2y + 34 = 220

Subtract 34 from each side:
2y = 186

Divide each side by 2:
y = 93 (Mrs. Winkle)

x = 93 + 34
x = 127 (Mr. Winkle)