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звестно, что \( \frac{2025 a-b}{a}=2024 \). Найдите \( \frac{2025 a+b}{b} \) и запишите ответ.

Ask by King Burton. in Russia
Nov 29,2024

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Найдем \( \frac{2025 a + b}{b} \): Подставим \( b = a \): \[ \frac{2025 a + a}{a} = 2026 \] Ответ: \( \boxed{2026} \)

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Давайте начнем с уравнения, которое нам дано: \[ \frac{2025 a - b}{a} = 2024. \] Умножим обе стороны на \( a \): \[ 2025 a - b = 2024 a. \] Теперь перенесем \( 2024 a \) на левую сторону: \[ 2025 a - 2024 a - b = 0, \] что упрощается до: \[ a - b = 0. \] Отсюда получается, что \( a = b \). Теперь мы можем посчитать \( \frac{2025 a + b}{b} \): Подставим \( b \) вместо \( a \): \[ \frac{2025 a + a}{a} = \frac{2026 a}{a} = 2026. \] Таким образом, ответ: \[ 2026. \]

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