Difference between revisions of "2014 AMC 12A Problems/Problem 6"
(Created page with "==Problem== The difference between a two-digit number and the number obtained by reversing its digits is <math>5</math> times the sum of the digits of either number. What is the...") |
(No difference)
|
Revision as of 11:05, 7 February 2014
Problem
The difference between a two-digit number and the number obtained by reversing its digits is times the sum of the digits of either number. What is the sum of the two digit number and its reverse?
Solution
Let the two digits be and
. Then,
, or
. This yields
and
because
. Then,
See Also
2014 AMC 12A (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 12 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.