1987 AJHSME Problems/Problem 8
Problem
If and are nonzero digits, then the number of digits (not necessarily different) in the sum of the three whole numbers is
\[\begin{tabular}[t]{cccc} &9 & 8 & 7 & 6 \\ && A & 3 & 2 \\ +& & B & 1 \\ \hline \end{tabular}\] (Error compiling LaTeX. Unknown error_msg)
Solution
The minimum possible value of this sum is when , which is
The largest possible value of the sum is when , making the sum
Since all the possible sums are between and , they must have digits.
See Also
1987 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 7 |
Followed by Problem 9 | |
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All AJHSME/AMC 8 Problems and Solutions |
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