Новая Школа - онлайн-школа подготовки к ЕГЭ
Задача Задача №2648284
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Аноним
20 января 2025 10:26 · публичный вопрос
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Аноним

1512:(72-y)=36

Ответ нейросети
20 января 2025 10:26

To solve the equation \( 1512:(72-y)=36 \), we first translate the division symbol correctly. The equation can be interpreted as:

\[ \frac{1512}{72 - y} = 36 \]

To eliminate the fraction, we can multiply both sides of the equation by \( 72 - y \):

\[ 1512 = 36(72 - y) \]

Next, distribute \( 36 \) on the right side:

\[ 1512 = 36 \cdot 72 - 36y \]

Calculating \( 36 \cdot 72 \):

\[ 36 \cdot 72 = 2592 \]

Now, substituting this value back into the equation gives us:

\[ 1512 = 2592 - 36y \]

Next, we can isolate \( 36y \) by rearranging the equation:

\[ 36y = 2592 - 1512 \]

Now, calculate \( 2592 - 1512 \):

\[ 2592 - 1512 = 1080 \]

Substituting back into the equation:

\[ 36y = 1080 \]

Now, divide both sides by \( 36 \) to solve for \( y \):

\[ y = \frac{1080}{36} \]

Calculating \( \frac{1080}{36} \):

\[ y = 30 \]

Thus, the solution to the equation is:

\[ \boxed{30} \]