Difference between revisions of "1994 AJHSME Problems/Problem 25"
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Revision as of 12:20, 19 October 2016
Problem
Find the sum of the digits in the answer to
where a string of nines is multiplied by a string of fours.
Solution
Notice that:
and
and
So the sum of the digits of x 9s times x 4s is simply .
Therefore the answer is
See Also
1994 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 24 |
Followed by Last Problem | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.