childrens book

[sophie_1003]

I read a book as a child, it was a picture book and a grandfather who had a moustache was relaying a story to his grandson about when he was younger (I think) and went looking for something he had to travel really far. There was one page with him walking througha blizzard. It showed an image of when he was young (possibly throughout the book) and he had the moustache then even though he was meant to be a little boy, found it very funny when I was younger! Does anyone know what book it is?