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2023 AMC 10AProblem 12P11-15~3 minPrint
Divisibility & FactorsBases & DigitsBasic CountingSet up the equation/formula and compute; no special trick needed

How many three-digit positive integers NN satisfy the following properties?

  • The number NN is divisible by 77 .
  • The number formed by reversing the digits of NN is divisible by 55 .
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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.