If (9)² is subtracted from a square of a number, the value so obtained is 544. What is the number?

Correct option is A

Given:

1. $$(9)^2$$​ is subtracted from the square of a number.

2. The result is 544 .

3. We need to find the number.

Solution:

Let the number be x .

The equation becomes:

$$x^2 - (9)^2 = 544$$​

1. Calculate $$(9)^2$$​:

$$(9)^2$$​ = 81

2. Substitute $$(9)^2$$​ = 81 into the equation:

$$x^2 - 81 = 544$$​

3. Solve for $$x^2$$​ :

$$x^2 = 544 + 81$$​

$$x^2 = 625$$​

4. Find x by taking the square root:

x = $$\sqrt{625}$$​

x = 25

Final Answer:

The number is 25