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

[math_celebrity]

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)