# Midpoint of a midpoint, then what?

Geometry Level 2

$AB$ is 60 units long. $C$ is the midpoint of $AB$. $D$ is the midpoint of $CB$. $E$ is twice as far from $B$ as it is from $D$ such that it is between $DB$. $F$ is four times as far from $C$ as it is from $A$. Find $FC + DE$.

Note: This problem is taken from the Mathizen Question of the Day.

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