2004 AIME II Problems/Problem 14

Revision as of 00:54, 11 November 2006 by JBL (talk | contribs)

Problem

Consider a string of $n$ $7$'s, $7777\cdots77,$ into which $+$ signs are inserted to produce an arithmetic expression. For example, $7+77+777+7+7=875$ could be obtained from eight $7$'s in this way. For how many values of $n$ is it possible to insert $+$ signs so that the resulting expression has value $7000$?

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.

See also