Let aaa, bbb, and ccc be distinct digits such that a⋅b<45<b⋅c<50<a⋅c.a\cdot b<45<b\cdot c<50<a\cdot c.a⋅b<45<b⋅c<50<a⋅c. What is a+b+ca+b+ca+b+c? A17B18C19D20E21