“It is definitely them — until now, all we had was hope,” Mr. Vouardoux said, adding that the news had reduced several residents to tears. “This, once and for all, puts an end to a story that has deeply marked the village. For years, people have been asking questions: ‘What happened to them? Why couldn’t we find them?’ Now we know the truth.”

After the couple disappeared 75 years ago, the police searched the area for weeks. The seven Dumoulin children — five boys and two girls — were separated and went to live with families in the area. Every year on Aug. 15, some of the siblings would climb the glacier to pray.

Speaking before the DNA identification, Marceline Udry-Dumoulin, 79, one of the couple’s daughters, said she had been convinced that the bodies were her parents after learning that the resort worker had seen her mother’s clothes and shoes. She recalled saying, “You have my mother, you don’t need to look further.”

Ms. Udry-Dumoulin said she now had one priority: giving her parents a proper funeral and burial, however belated.