Question

What value should come in place of question mark(?) in the following equation ?
360 \(\sqrt{?}\) \(+\)4500 = 19700 − 9800.

• A. 225
• B. 215
• C. 295
• D. 395

Answer 1

The Correct Option is A

To solve the equation, first, understand the given expression and simplify it step by step:

The original equation is:

\(360 \sqrt{?} + 4500 = 19700 - 9800\)

First, calculate the right-hand side:

\(19700 - 9800 = 9900\)

Now, rewrite the equation with the simplified value:

\(360 \sqrt{?} + 4500 = 9900\)

Subtract 4500 from both sides to isolate \(360 \sqrt{?}\):

\(360 \sqrt{?} = 9900 - 4500\)

Calculate the subtraction:

\(9900 - 4500 = 5400\)

Now, the equation simplifies to

\(360 \sqrt{?} = 5400\)

Next, divide both sides by 360 to solve for \(\sqrt{?}\):

\(\sqrt{?} = \frac{5400}{360}\)

Calculate the division:

\(\frac{5400}{360} = 15\)

So, \(\sqrt{?} = 15\).

To find the value of ?, square both sides: 

\(? = 15^2 = 225\)

Therefore, the value that should replace the question mark is 225, which is the correct answer.

Among the given options, 225 is the correct one.