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Home » The GCD is obtained by taking the minimum exponent for each common prime: - Sterling Industries

The GCD is obtained by taking the minimum exponent for each common prime: - Sterling Industries

📅 April 16, 2026 👤 scraface

Apr 16, 2026

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📌 for integer $ k $. We require $ N < 100 $, so:

📌 Thus, the largest integer $ k $ is 7. Substituting:

📌 Question: An angel investor notes that the number of startups funded in a year is a two-digit number that is one less than a multiple of 9 and has a digit sum equal to 11. What is this number?

📌 Solution: Let the two-digit number be $ N $. We are given:

📌 The sum of the digits of $ N $ is 11.

📌 $ 17, 26, 35, 44, 53, 62, 71, 80, 89, 98 $ (since $ 9k + 8 $, $ k = 1 $ to $ 10 $).

📌 Two-digit numbers with digit sum 11:

📌 But 11 mod 9 = 2, not 8. Contradiction?

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