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Mathematics

If 3x\dfrac{3}{x} is equivalent to 4560\dfrac{45}{60}, then the value of x is

  1. 4

  2. 5

  3. 6

  4. 20

Fractions

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Answer

Given, 3x\dfrac{3}{x} is equivalent to 4560\dfrac{45}{60}

⇒3x=4560⇒x=3×6045⇒x=6015=4.\Rightarrow \dfrac{3}{x} = \dfrac{45}{60} \\[1em] \Rightarrow x = \dfrac{3 \times 60}{45} \\[1em] \Rightarrow x = \dfrac{60}{15} = 4.

Hence, option 1 is the correct option.

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