Question

find the number that should be filled in the box :12 :21: 8 :□​

Answer 1

Answer:

14

Step-by-step explanation:

we will put the rational number in fraction

==>  12/21 *8/x

==>   12*x = 2*21

==>  x = 8*21/12

==> 14

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Answer 2

Answer:

2 :21: 8 : 14

Step-by-step explanation:

According to the information provided in the question it is given as

Numbers = 12;21:8:

we need to find next number

here it is seen that the numbers are in ratio form where 2 complete ratio is given and one set of ratio having only one number we find the other number by simple equation as follows

Let us assume x is the next number  

12:21

8: x

By simple cross multiplication we get the value of x

[tex]12 x=8\times 21\\ 12x = 168\\ x=\frac{168}{12} [/tex]

Converting to lowest term

$x=\frac{84}{6}$

(As both are divisible by 2)

again the lowest term we get

$x= 14$

(As both are divisible by 6)

Hence the next number is 14 so final  value in blank box is 14