Question

Find the value of x (vi) 16:x::x:25​

Answer 1

Answer:

20

Step by step explanation :

16/x = x/25

x² = 16*25

x² = 4² * 5²

x = 4*5

x = 20

x is the geometric mean or mean proportional between 16 and 25.

Answer 2

Answer:

$\sf16:x:x:25 \\ \sf\frac{16}{x} = \frac{x}{25} \\ \sf {By \: cross \: multiplication \: method} \\ \sf \: x \times x = 16 \times 25 \\ \sf {x}^{2} = 400 \\ \sf \sqrt{ {x}^{2} } = \sqrt{400} \\ \sf \: x = 20$

Hope it's helpful to you:) :)