KöMaL 2025 K874

András, Bori, Cili, Dezső, Elemér, Feri, Gabi and Hugó are standing in a circle in this order, each holding some beans, with a total of 240 beans altogether. If András gives 1 bean each to Bori, Cili, Dezső, Elemér, Feri, Gabi, and Hugó, then Bori gives 2 beans each to Cili, Dezső, Elemér, Feri, Gabi and Hugó, then Cili gives 3 beans each to Dezső, Elemér, Feri, Gabi and Hugó, then Dezső gives 4 beans each to Elemér, Feri, Gabi and Hugó, then Elemér gives 5 beans each to Feri, Gabi, and Hugó, then Feri gives 6 beans each to Gabi and Hugó, then Gabi gives Hugó 7 beans, each of them will have the same number of beans in their hands. How many beans did each of them have initially?