Question

24x=(99)^2-(87)^2 find x

Answer 1

Hi,
Here is the answer to your query:-

24x=99^2-87^2
24x=9801-7569
24x=2232
x=2232/24
x=24

Hope it helps you....
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Answer 2

Given,

An expression: 24x=(99)^2-(87)^2

To find,

The value of x.

Solution,

We can simply solve this mathematical problem using the following process:

Mathematically,

If a and b are two variables, then there exists an algebraic identity such that,(a)^2 - (b)^2 = (a-b)(a+b)

{Statement-1}

Now, according to the question;

On simplifying the given expression, we get;

24x=(99)^2-(87)^2

=> 24x=(99+87)(99-87)

{according to statement-1}

=> 24 × x = 186 × 12

=> x = (186×12)/24 = 186/2 = 93

=> x = 93

Hence, the value of x is equal to 93.