Which number should replace both the *s in le | vedclass

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(B) Let the missing number be $x$.Then the equation becomes $\frac{x}{21} 	imes \frac{x}{189} = 1$.Multiplying the numerators and denominators,we get

Vedclass · Accepted Answer

$63$

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(B) Let the missing number be $x$.Then the equation becomes $\frac{x}{21} 	imes \frac{x}{189} = 1$.Multiplying the numerators and denominators,we get $\frac{x^2}{21 	imes 189} = 1$.Therefore,$x^2 = 21 	imes 189$.We can factorize $189$ as $21 	imes 9$.So,$x^2 = 21 	imes (21 	imes 9) = 21^2 	imes 3^2$.Taking the square root of both sides,$x = 21 	imes 3 = 63$.

Which number should replace both the $$s in $\left(\frac{}{21}\right) \times \left(\frac{*}{189}\right) = 1$?

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Which number should replace both the $*$s in $\left(\frac{*}{21}\right) \times \left(\frac{*}{189}\right) = 1$?