I prefer the folding solution to the scan solution -- though there's certainly elegance to the latter. Anyway,
numbers.foldLeft(0 -> 0) {
case ((maxUpToHere, maxSoFar), n) =>
val maxEndingHere = 0 max maxUpToHere + n
maxEndingHere -> (maxEndingHere max maxSoFar)
}._2