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Home » La racine correcte est \( n = 15 \) : - Parker Core Knowledge

La racine correcte est \( n = 15 \) : - Parker Core Knowledge

📅 May 3, 2026 👤 scraface

May 03, 2026

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An ornithologist uses GPS tracking to study a flock of geese whose fli...
We seek the smallest two-digit number \( k \) such that:
\( k \equiv 2 \pmod{7} \),
\( k \) is divisible by the sum of its digits.
Let \( k = 10a + b \), where \( a \in \{1,2,\dots,9\} \), \( b \in \{0...
We check two-digit numbers \( k \equiv 2 \pmod{7} \): they are:
k = 16, 23, 30, 37, 44, 51, 58, 65, 72, 79, 86, 93
Now test each for divisibility by digit sum:
\( k = 16 \): digit sum = \( 1+6 = 7 \), \( 16 \div 7 \approx 2.28 \),...
\( k = 23 \): sum = \( 2+3 = 5 \), \( 23 \div 5 = 4.6 \), no.

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