Mountain Climbing Question?

The number combinations indicate the type of climbing.

Your example is a mixed route with a 5.14 sport climbing section a 9a aid climbing section.

The numbers indicate the difficulty of the climb.

Sport climbs without gear in the range of 5.0 - 5.4 are called scrambles.

After 5.5 route needs (or should have) climbing gear to proceed. The easiest routes are 5.6 and after that it get's harder up to currently 5.15 (I think). The a,b,c's are sub-categories to say "well, it's harder than a 5.12, but not quiet a 5.13 yet....).

A climbing route is rated generally by it's hardest move. The majority of the route could be a 5.8 but if one move is a 5.10 , than the entire route is rated 5.10.

The numbers are a combination of the Yosemite rating system and ratings for Aide climbing. The Yosemite system is for free climbing, bouldering, sport climbing and the like. This type of climbing allows you to use removable protection and/or permanent bolts but usually supposes that you will climb without using protection or the rope to support your weight at any time while on the pitch you are climbing. Aide climbing allows you to set anchors and hang from them while you are working your way up the route. The Yosemite system describes the difficulty of the route by using numerals 1 - 5 but notably anything from 5 and beyond is considered technical climbing. It starts as 5.0 and currently climbs to and beyond 5.14d It's only after you get to 5.10 that it starts to graduate into alphabetical parts, like 5.10a, 5.10b and so on.