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Amina thinks of a number and subtracts 5/2 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?

Q.1 Amina thinks of a number and subtracts  \frac{5}{2 }  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?     

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Let us assume that the number Amina thought was x.

As per the question,

                           \left ( x-\frac{5}{2} \right )\times8 = 3x

or                        8x - 20 = 3x

Transposing  3x to the LHS and -20 to the RHS, we get

                          8x - 3x = 20 

or                          5x = 20

Dividing both sides by 5.

                            x = 4

 Therefore the number Amina thought was 4.

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