Amina thinks of a number and subtracts $52$ from it. She multiplies the result by $8$. The result now obtained is $3$ times the same number she thought of. What is the number?
Given: $52$ is subtracted from a number thought by Amina and the result is multiplied by 8. The result is obtained $3$ times the number Amina thought.
To do: To find the number that Amina thought.
Solution:
Let the number Amina thought of be $x$.
Firstly she will subtract $52$ from the number,
The result will be $( x-52)$.
Secondly, she multiplies the result by $8$.
Therefore, it will become $8( x-52)$.
As it is given that the result obtained is $3$ times the number Amina thought of.
$\Rightarrow 8( x-52)=3x$
$\Rightarrow 8x-416=3x$
$\Rightarrow 8x-3x=416$
$\Rightarrow 5x=416$
$\Rightarrow x=\frac{416}{5}$
$\Rightarrow x=83.2$
Therefore, Amina thought the number $83.2$.
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