My car is fitted with new beaded edge tyres but both front tyres have bulges on the sides, is this fault with the tyre?
From your description I suspect that the heel of the tyre has actually torn, leaving the side wall unsupported resulting in a side wall bulge. This is commonly caused by one of two reasons, the first and most common is under inflation, this allows the tyre to flex on the rim which in turn allows the nose of the rim to chafe and eventually cut through the toe. The second reason is poor rim condition, over the years it has become common practice to “cut back” or “tidy up” the nose on the rim edge to remove the sharp corroded edge, this is not good practice as it leaves the heel of the tyre unsupported when under load causing the rim to “skin off” the tyre heel.