Question 60
A positive integer hides another number if deleting some of its digits produces that other number. For example, $123$ hides $1,2,3,12,13,23$, but does not hide $32,123,213$.
a) What is the largest three-digit number hidden by $47239$?
b) What is the smallest number that simultaneously hides $2009$ and $9002$?
c) Find a multiple of $2009$ that hides $2009$ and has units digit $3$.
a) What is the largest three-digit number hidden by $47239$?
b) What is the smallest number that simultaneously hides $2009$ and $9002$?
c) Find a multiple of $2009$ that hides $2009$ and has units digit $3$.