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Home » Stop Guessing. Use WordMint Today—Click to See the Quick, Proven SEO Wins! - jntua results

Stop Guessing. Use WordMint Today—Click to See the Quick, Proven SEO Wins! - jntua results

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 A 3-digit number ranges from 100 to 999. We need to find how many of these numbers are divisible by 11. A number is divisible by 11 if the difference between the sum of its digits in odd positions and the sum of its digits in even positions is a multiple of 11.

📌 First, find the smallest 3-digit number divisible by 11:

📌 \[ 100 \div 11 = 9.09 \]

📌 The smallest integer greater than or equal to 9.09 is 10, so:

📌 \[ 11 \times 10 = 110 \]

📌 Now, find the largest 3-digit number divisible by 11:

📌 \[ 999 \div 11 = 90.8181 \]

📌 The largest integer less than or equal to 90.8181 is 90, so:

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Thus, the number of ways is $\boxed{301}$.
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