2016 AMC 10A Problems/Problem 6
Contents
Problem
Ximena lists the whole numbers through
once. Emilio copies Ximena's numbers, replacing each occurrence of the digit
by the digit
. Ximena adds her numbers and Emilio adds his numbers. How much larger is Ximena's sum than Emilio's?
Solution
For every tens digit 2, we subtract 10, and for every units digit 2, we subtract 1. Because 2 appears 10 times as a tens digit and 2 appears 3 times as a units digit, the answer is
Video Solution
~IceMatrix
~savannahsolver
https://youtu.be/qrgPsA9AQLA. (short and simple!)
Education, the Study of Education.
See Also
2016 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 5 |
Followed by Problem 7 | |
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 AMC 10 Problems and Solutions |
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