Question

Find the value of x when 36:x::x:16.

Answer 1

Here is ur answer!!

$x \times x$ = 36 × 16

${x}^{2} \: = \: 36 \times 16$

${x}^{2} \: = \: 576$

$x \: = \: \sqrt{576}$

$x \: = \: 24$

Answer 2

We know that product of extremes is equal to the product of middle terms
Therefore,

Product of extremes=36*16=576

Product of middle terms=x*x=x square

Now x square =576

Therefore x=24

Hence the value of x is 24