Please reason step by step, and put your final answer within \boxed{}.
Krosh, Yozhik, Nyusha, and Barash ate a bag of candies. Then Sovunya asked: "So, how many candies did each of you eat?" Here’s what they answered:

Krosh: "Yozhik, Nyusha, and I ate a total of 120 candies."

Yozhik: "Nyusha and Barash ate 103 candies (I’ve been watching them for a while)."

Nyusha: "The boys ate as many as 152 candies!"

And Barash didn’t say anything (his lips were glued together).

"That can't be true!" - exclaimed Sovunya. Why?
user