Question

Find the value of x in 4:x::x:16

Answer 1

Given:

4:x::x:16

To find:

The value of x.

Solution:

We have,

4:x::x:16

It means, we have

4:x = x:16

It can be rewritten as

`(4)/(x)=(x)/(16)`

On cross multiplication, we get

`4* 16=x* x`

`64=x^2`

Taking square root on both sides.

`\pm √(64)=x`

`\pm 8=x`

Since ratio can be negative or positive, therefore, the value of x is either -8 or 8.