Direction (41–52): What will come in the place of (?) mark in following question?

$13\times ?\times 6={47}^2-\sqrt{625}$

The correct answer is 28.

To find the value that should replace the question mark (?), let us represent the unknown value as $x$. The given equation is:

$13\times x\times 6={47}^2-\sqrt{625}$

Step 1: Simplify the right-hand side (RHS) of the equation.
First, calculate the square of 47:

${47}^2=2209$

Next, find the square root of 625:

$\sqrt{625}=25$

Now, subtract these values to get the simplified RHS:

$2209-25=2184$

Step 2: Simplify the left-hand side (LHS) of the equation.
Multiply the known numbers on the left side:

$13\times 6=78$

So the LHS becomes:

$78\times x$

Step 3: Solve for $x$ by equating LHS and RHS:

$78\times x=2184$

Divide both sides of the equation by 78:

$x=\frac{2184}{78}$

$x=28$

Thus, the value that comes in place of the question mark is 28.