united mileageplus - RoadRUNNER Motorcycle Touring & Travel Magazine

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📰 Solution: Let the number be $n$. Then $n \equiv 3 \pmod{7}$ and $n \equiv 5 \pmod{6}$. Solve the system: 📰 From $n \equiv 5 \pmod{6}$, $n = 6k + 5$. Substitute into the first congruence: $6k + 5 \equiv 3 \pmod{7} \Rightarrow 6k \equiv -2 \pmod{7} \Rightarrow 6k \equiv 5 \pmod{7}$. Multiply both sides by the modular inverse of 6 mod 7 (which is 6, since $6 \times 6 = 36 \equiv 1 \pmod{7}$): $k \equiv 5 \times 6 \equiv 30 \equiv 2 \pmod{7}$. Thus, $k = 7m + 2$, and $n = 6(7m + 2) + 5 = 42m + 17$. The two-digit solutions are when $m = 0$: $n = 17$ and $m = 1$: $n = 59$. The smallest is $\boxed{17}$. 📰 Question: What is the greatest common divisor of $2^{12} - 1$ and $2^{18} - 1$? 📰 Today Interest Rates Mortgage 📰 Transferring Hsa To Fidelity 2465004 📰 You Wont Believe Whats Inside The Revolutionary New Psp Game Changer Alert 2147267 📰 Free Spirit Credit Card 📰 Health Care Savings Account 3341560 📰 Dont Miss These Hidden Powers Unlocked In Every Infinity Stone 3400344 📰 Sources Say Fidelity Tech And The Truth Finally Emerges 📰 10 Eye Catching Concert Outfit Ideas To Shine Under The Spotlight 1672989 📰 Pokemon Prismatic 2408768 📰 Local Business Business 📰 Rdr Undead Nightmare Horses Of The Apocalypse Locations 📰 Breaking Taipei American School Breaks Records With Student Success Excellence 5582365 📰 Michelin Stock Price 📰 Gabx Stock Detection Why Traders Are Rushing This Golden Opportunity Now 9369692 📰 You Wont Believe This Ultra Real Dodgers Wallpaperha See The Action On Your Device 2978621