Question

. If the ratio that 49 bears to a quantity is the same as the ratio that the quantity bears to 81.
find the quantity.
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Answer 1

Step-by-step explanation:

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If the ratio that 49 bears to a quantity is the same as the ratio that the quantity bears to 81. Find the quantity.

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Let the quantity be x.

✰ According to the given question :

$\mapsto\displaystyle{ \sf{ \frac{49}{x} = \frac{ x}{81} }}$

• Cross Multiply

$\displaystyle{ \sf{ : \implies \: 49 \times 81 = x \: \times \: x }}$

$\displaystyle{ \sf{ : \implies \: 3969 = {x}^{2} }}$

$\displaystyle{ \sf{ : \implies \: \sqrt{3969} = x }}$

$\displaystyle{ \sf{ : \implies \: 63 = x }}$

∴ The quantity is 63.