Question

Linear equations : x-24% of x = 38

Answer 1

Heya friend,

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x - 24 % of x = 38

=> x - 24/100 × x = 38

=> x - 6/25x = 38

=> 25x - 6x/25 = 38

=> 19x/25 = 38

=> x = 38×25/19

=> x = 50


Thanks

With regards@

Tanisha

Answer 2

For the given linear equation, the value of x is 50.

Given,

Equation:

x - 24% of x = 38.

To find,

The value of x.

Solution,

It can be seen that here, we are given a linear equation, which is as follows.

$x - 24\% \hspace{3} of \hspace{3} x = 38 \hfill ...(1)$

We know that the percent or percentage is defined as a number or ratio that is expressed or represented as a fraction of 100.

Thus, 24% can also be written as $\frac{24}{100}$.

Substituting this in equation (1), we get,

$x - \frac{24}{100} x = 38$

$\implies x(\frac{100-24}{100}) = 38$

Rearranging and simplifying,

$x=\frac{38 \times 100}{76} =\frac{3800}{76}$

⇒ x = 50.

Therefore, for the given linear equation, the value of x is 50.

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