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\[ 29q = 49 \] - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 A certain number is increased by 25% to become 125. What was the original number?

📌 Increasing \( x \) by 25% gives \( x + 0.25x = 1.25x \).

📌 Given \( 1.25x = 125 \).

📌 Solving for \( x \): \( x = \frac{125}{1.25} = 100 \).

📌 If the sum of the first \( n \) natural numbers equals 55, what is \( n \)?

📌 The sum of the first \( n \) natural numbers is \( \frac{n(n+1)}{2} \).

📌 Setting this equal to 55: \( \frac{n(n+1)}{2} = 55 \).

📌 Multiplying by 2: \( n(n+1) = 110 \).

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