A first-time home buyer financed the purchase of a house with a $100,000 mortgage she took out with a bank. The mortgage was recorded. A few years later she borrowed $5,000 from a finance company to pay for a foreign trip, using her house as security. The finance company promptly and properly recorded its mortgage on the property. One year after that, she borrowed $40,000 from an equity company to pay for an addition on the house. The equity company promptly and properly recorded the mortgage it took on the property. Shortly thereafter, she lost her job and was unable to make payments on either the finance company's or the equity company's mortgages, but she was able to make payments on the bank's mortgage. The finance company filed foreclosure of its mortgage and included the equity company in the action, and a purchaser bought the property at the foreclosure sale. What is the purchaser's obligation regarding the bank's mortgage and the equity company's mortgage