1994 AJHSME Problems/Problem 23
Problem
If , and are different digits, then the largest possible digit sum for
has the form
Solution
The sum can be rewritten as . To get the largest possible sum, we maximize the hundreds digit, . If , the sum is a -digit number, so we let and . To continue maxmimizing this sum, we can let , a different digit from , and , which has the form .
See Also
1994 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 22 |
Followed by Problem 24 | |
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