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📰 Solution: Compute the sum: $11071 + 11073 = 22144$, $11075 + 11077 = 22152$, total $22144 + 22152 = 44296$. Divide 44296 by 13. Since $13 \times 3407 = 44291$, the remainder is $44296 - 44291 = 5$. The remainder is $\boxed{5}$. 📰 Question: What two-digit positive integer is one more than a multiple of 7 and one more than a multiple of 11? 📰 Solution: Let $x \equiv 1 \pmod{7}$ and $x \equiv 1 \pmod{11}$. By the Chinese Remainder Theorem, $x \equiv 1 \pmod{77}$. The two-digit numbers satisfying this are $1 + 77 = 78$. Thus, the answer is $\boxed{78}$. 📰 Hack S Mode Like A Pro How To Switch Out Instantly No Reboot Needed 5935820 📰 5 Unreal Wedding Invitation Phrases That Guests Cant Stop Talking About 9384811 📰 Interpellation 9240497 📰 You Wont Believe The Hilarious Sesame Street Characters Classic Names Click To Discover Their Fun Truths 5806561 📰 Goutabios Hidden Strategy That Made His Breakout Moment Unforgettable 5704635 📰 Spanish For My Lover 6407661 📰 Merritt Island National Wildlife Refuge 8315816 📰 Sandals App Review The Secret Sandal Shop Youve Been Searching For 2024 5980106 📰 Whats Really Happening Insider Retcon Secrets Shock Everyone Right Now 7488082 📰 Rockstar Original 820116 📰 These Cool Minecraft Skins Will Make You The Ultimate Gamer Overnight 7328778 📰 Hotels In Tarpon Springs Florida 3299017 📰 Nine To Five Cast 1744008 📰 Saginaw Spirit 7571585 📰 Find My Phone App 6513474