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in Linear Equations by (31.2k points)
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Four - fifths of a number is 10 more than two - thirds of the number. Find the number.

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by (30.8k points)
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Best answer

Let the numbers be x 

According to the question

\(\frac{4}{5}\text{x}-10=\frac{2}{3}\text{x}\)

\(\Rightarrow \) \(\frac{4}{5}\text{x}-\frac{2}{3}\text{x}=10\)

\(\Rightarrow \frac{12\text{x}-10\text{x}}{15}=10\)

⇒ 2x = 10 × 15 = 150

⇒ x = 75

So the number is 75.

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