Question

.If you subtract ¼ from a number and multiply the result by ⅓,you get

1/7, what is that number? ​

Answer 1

$\huge\star\underline{\mathtt\orange{❥A} \mathfrak\blue{n } \mathbb\purple{ Տ} \mathbb\pink{wer}}\star\:$

Let us consider the number be x

As per the given condition

If we subtract 1/2 from a number and multiply the result by 1/2, then we get 1/8.

So the equation becomes

⇒ (1/2)(x – 1/2) = (1/8)

⇒  (x – 1/2) = (1/4)

⇒ 4x – 2 = 1

⇒  4x = 3

Hence x = 3/4

Therefore 3/4 is the number from which if we subtract 1/2 from a number and multiply the result by 1/2, we get 1/8.

Answer 2

$so \: the \: value \: becomes \: = \frac{19}{28}$

Explanation:

Let the no subtracted be with ¼ is x

So, we can write that

$x - \frac{1}{4}$

$\frac{4x - 1}{4}$

And then the result is multiplied by 1/3

So, we can write that

$\frac{1}{3} ( \frac{4x - 1}{4})$

Then the result is 1/7 after multiplication

$\frac{1}{3} ( \frac{4x - 1}{4} ) = \frac{1}{7}$

$\frac{4x - 1}{4} = \frac{1}{7} \times 3$

$4x - 1 = \frac{3}{7} \times 4$

$4x - 1 = \frac{12}{7}$

$4x = \frac{12}{7} + 1$

$4x = \frac{19}{7}$

$x = \frac{19}{28}$