Difference between revisions of "1972 AHSME Problems/Problem 11"
(just grabbed solution off aops website - not my work, but work of some aops person) |
(No difference)
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Revision as of 19:43, 19 June 2019
We can rewrite the equation as , or Then . Testing all the residues modulo 11, we find that the only solution to is , so .
Now, since 7 is a digit in base and base , we must have . We must also have , so . We can have equality with , so the least possible value of is .