Question

If 8:x=12:30, find the value of x.

• A. 18
• B. 20
• C. 25
• D. 15
• E. None of these

Answer 1

The Correct Option is B

The correct answer is option (B):

20

The problem presents a proportion: 8:x = 12:30. A proportion states that two ratios are equal. To solve for x, we can use the concept that the product of the extremes (the first and last terms) equals the product of the means (the two middle terms).

In our proportion, the extremes are 8 and 30, and the means are x and 12.

Therefore, we set up the equation: 8 * 30 = x * 12

Simplifying, we get 240 = 12x

To isolate x, we divide both sides of the equation by 12: 240 / 12 = x

This gives us x = 20

So the value of x that makes the proportion true is 20.