Price will depend on if they are real, coated, or synthetic sapphires. They could even be Tanzanite. Take them to a jeweller or somewhere that would know and find out what they are, that's the first step, unless you know already.
I have had them looked at by a jeweler and he said tanzanite. But he said they're synthetic and offered me $20. I took them to a gold buyer next (both willing to have a look for free, without proof of appraisal) she said the smaller is tanzanite and she feels the larger is either tanzanite or a treated diamond. But she said shes no expert and does not buy loose stones, so never quoted me a price. After a bit of research I feel they are real tanzanite. I suppose I should fork over the cash for an appraisal. Tho in my area its $85 per piece at least. I'm a single mom lol I dont have that kind of money.
Given two people thought they might be tanzanite in person, and the fact that they look relatively similar to tanzanite in the pictures that is your most likely explanation. Try to keep them somewhere safe, tanzanite is moderately soft and easily chips/scratches, if you get them set then choose a jeweler who knows how to handle softer stones.
It is not worth getting the appraisal at the moment, tanzanite is not especially expensive in the first place. Ontop of this it can be hard to sell seccond hand as people are warry of wear and tear that accumulates on them. Also if they do turn out to be synthetic sapphire then the appraisal will be inconclusive anyway as the appraiser will probably tell you to send it to a lab to check whether it is synthetic or natural sapphire. I would only get them looked at once I was serrious about setting and deciding how much money the setting warranted.
They look like synthetic stones to me, too dark to be Tanzanite at that size and showing no pleochroism.
Also the faceting style screams synthetic, Tanzanites are usually native cut and a little less symmetrical than those unless they are precision cut.