Sunday Times Teaser 2763 – Golf Challenge
by Graham Smithers
Published: 6 September 2015 (link)
Mark and John played 18 holes of golf: the holes consisting of six each of par 3, par 4 and par 5. Each player finished the round in 72, consisting of six 3s, six 4s and six 5s. In fact each of them had six birdies (one under par), six on par, and six bogies (one over par). At no hole did the two players take the same number of strokes, and Mark beat John on ten of the holes.
How many of Mark’s winning holes were (a) on par 3 holes? (b) on par 4 holes? (c) on par 5 holes?