Verified Answer :

28
y:x
6:24
=1:4
when y=7 
7x4 =28


Hope this helps :)

Answer:  The required value of x is 28.

Step-by-step explanation:  Given that y = 6 when x = 24.

We are to find the value of x when y = 7.

Since x and y are directly related, so we have

\(x\propto y\\\\\Rightarrow x=ky~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{where k is the constant of proportionality}].\)

When y = 6 and x = 24, we get

\(24=k\times6\\\\\Rightarrow k=\dfrac{24}{6}\\\\\Rightarrow k=4.\)

Therefore, when y = 7, we get

\(x=7\times4=28.\)

Thus, the required value of x is 28.

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