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.
Plz solve it​

Answer 1

Answer:

63

Step-by-step explanation:

Let the quantity be x

then the ratio that 49 bears to the quantity = $\frac{49}{x}$ = 49:x

also the ratio that the quantity bears to 81 is = $\frac{x}{81}$ = x:81

It is given that the 2 ratios are same

therefore,

$\frac{49}{x} = \frac{x}{81} \\49*81 = x^{2}\\x^{2} = 49*81\\x = \sqrt{49*81} = \sqrt{7*7*9*9} = 7*9 = 63$

therefore

the quantity is 63