Question

If 18:X = X:8 then X =?

A) 144
B) 72
C) 26
D) 12

Explain with step by step ?​

Answer 1

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Answer 2

If 18:X = X:8 then X = 12.

Given: 18: x = x: 8

To Find: The value of x

Solution: Ratio is the relation between two things or values.

Fraction is the simplified form of a ratio.

Now, 18: x can be written in fraction form as

$\frac{18}{x}$

Similarly, x: 8 can be written in fraction form as

$\frac{x}{8}$

Since 18: x = x: 8,

So, the equation will be as follows:

$\frac{18}{x} = \frac{x}{8}$

By cross multiplication of both the sides we get:

${x}^{2} = 18 \: \times \: 8$

${x}^{2} = \: 144$

Finding the square root of 144 to get the value of x:

$x = \: \sqrt{144}$

Square root of 144 is 12. (12 × 12 = 144)

x = 12

Therefore, the value of x is 12.

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