10. The Village Chief of Sheep Village said: “My age is among $35,36,38,42,45,46,51,55,57,61,62$ these 11 
Dumb Sheep said: “I didn't know at first, but after hearing Happy Sheep's words, I know now.”
Happy Sheep said: “Now I know $5 . "$
What is the Village Chief's age? . $\qquad$
【Answer】 61 years old
【Analysis】From the first sentence spoken by Happy Sheep, we know that the unit digit is not 8 or 7, and the tens digit is not 3 or 5. Therefore, the possible numbers are: $42, 45, 46, 61, 62$. From what Pretty Sheep said, we know that the unit digit is $1, 5$ or 6, so the possible numbers are: $45, 46, 61$. From the second sentence spoken by Happy Sheep, we know that among the remaining possibilities, the tens digit is unique, so the age of the Village Chief is 61 years old.