Question

1/2 of 3/4 of a number is 5/2 of 10. what is the number.​

Answer 1

Answer:

Let the number be x.

$\sf (\frac{1}{2} \: of \: \frac{3}{4}) \times x = \frac{5}{2} \: of \: 10 \\ \\ \rightarrow \frac{1}{2} \times \frac{3x}{4}= \frac{5}{2} \times 10\\ \\ \rightarrow \frac{3x}{8}= 25 \\ \\ \bf On \: cross-multiplying \: we \: get-\\ \\ \rightarrow3x = 25 \times 8 \\ \\\rightarrow 3x = 200 \\ \\ \rightarrow x = \frac{200}{3}$

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