Question

3626 is divided by the square of a number and the answer so obtained is x 32 final answer obtained through 2368 what is the number

Answer 1

Answer:

The number is 7.

Step-by-step explanation:

Let number be x,

According to the question given,

3626 is divided by the square of a number and the answer so obtained is multiplied by 32 and the final answer obtained is 2368.

This can be stated mathematically as:

$\frac{3626}{{x}^2} \times 32=2368$

Now solving for x,

$\frac{3626}{{x}^2} =\frac{2368}{32}$

$\frac{3626}{{x}^2} =74$

$x^2=\frac{3626}{74}$

$x^2=49$

$x=\sqrt{49}$

$x=7$

Thus, the number x = 7.

Answer 2

Answer:

So the number is ±7

Step-by-step explanation:

Let us suppose that the number is x

Now according to conditions

3626 is divided by square of number

which is

written as

$\frac{3626}{x^{2}}$

Now the answer is multiplied with 32 which is

$\frac{3626}{x^{2}}*32$

Final answer is 2368

so as a whole this condition is

$\frac{3626}{x^{2}}*32=2368$

Now dividing both sides of the equation with 32 we get

$\frac{3626}{x^{2}}=74$

Now cross multiplication gives

$\frac{3626}{74}=x^{2}$

It becomes

$x^{2}=49$

taking square root of both sides

we get

$\sqrt{x^{2} }=\sqrt{49}$

so it becomes

x = ± 7

So the number is ±7