What value should come in place of question mark(?) in the following equation ?
360 \(\sqrt{?}\) \(+\)4500 = 19700 − 9800.
360 \(\sqrt{?}\) \(+\)4500 = 19700 − 9800.
- 225
- 215
- 295
- 395
The Correct Option is A
Solution and Explanation
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.
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