Question

15/20 = 12 : x then out of the following which one is the value of X ?

1) 9

2) 16

3) 25

4) 22.25​

Answer 1

Answer:

The correct option is 2) 16.

Step-by-step explanation:

Here in this question, we have been given that $\frac{15}{20}$= 12:x and we have to find the value of x

To do so we will use the method of cross-multiplication.

We know that in the cross multiplication method we multiply the denominator with the numerator and vice-versa.

So we will do as shown below:

$\frac{15}{20}$=$\frac{12}{x}$

⇒15x=240

⇒x= 240 ÷ 15

⇒ x = 16

Hence the required value of x is 16.

Therefore option 2) 16 is correct.

Answer 2

Given: 15/20 = 12:x

To find The value of x

Solution: The expression is said to be in a proportion if its representation is,  say four terms a, b, c, d then a:b::c:d or a:b=c:d or a/b=c/d.

The ratio is the segment that goes with the proportion as we can clearly see above.

From above, the four terms or numbers are 15, 20, 12, x which are in the same form a, b, c, d respectively, so the given expression is in proportion,

∴ 15:20 = 12:x

⇒ 15/20=12/x

⇒ (15×x)=(20×12)  [cross multiplying the numbers]

⇒ x=240/15  [ Changing the side of the number 15]

⇒ x=16

Hence the value of x is 2)16.