What fruit is this please?

[imagen]

I have not long moved into my house and have this tree in my Garden. Could someone please tell me what fruit this is growing on it and is it edible? I have also attached a close up picture of one of the branches, it doesn't look to healthy to me as it looks pretty brittle and had a green coating of something on it. Could anyone shed any light on this too?
Many thanks.

[Exapno]

Is it crab apple?

[imagen]

I thought that but the fruit was there when I moved in last summer and it was pretty soft, almost plum like.

[quark1]

Looks like a greengage to me - but I'm no expert!

[Nicos]

I would have gone for greengage too!

[lynda66]

looks like a greengage to me too greengage - Google Image Search

and yes you can eat them

eat greengage - Google Search

[burnie]

Where are you geographically,just looks like moss to me,west coast of Scotland all the trees are covered in it.The tree looks quite old so the branch may need pruning out to encourage new growth.

[PAULW]

The coating on the branches is lichen it grows on a lot of fruit trees does no harm and is an indicater of clean air.

[Eden]

Look just like my greengages, if they turn golden then that's what they are, totally delicious too!

[kentvegplot]

I think it could be damson - they do get very brittle, you'll probably only know once they start to change colour ..... but it's certainly something from the plus family.

[imagen]

Thanks for all your replies so far. I wasnt sure if they was greengages because I thought they grew on a bush rather than a tree, I'm probobaly just being stupid. I'll keep an eye on them and see if they tern golden. Thanks for the tips about the coating on the branches, I am on the south coast so makes sense that it would be to do with the clean air.
Please post if you have any further suggestions and thoughts on my questions. Thanks once again

[imagen]

Just to also add, the fruit at the moment is only measuring about 2cm wide and is still hard. I looked on a couple of other sites and there saying that plums should be ripe and ready now. Do these still sound like they are greengages? If I remember rightly when I noticed them last year they weren't that much bigger, maybe 3cm or so but were soft and still quite light green, maybe a slight golden tint.
Apprieciate any further ideas, thanks.

[Cloud]

Could be Greengage.Goldgage or Damson.

[Flummery]

I hope it's a greengage, they are the most delicious thing. Cook and use like a plum, but golden/green and very sweet.

[daylily]

Yes, and they shall be ripe end of summer time, though this will depend on variety, it is still one of them.