question_answer

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?

Answer:

Let the number be x.

According to question,

\[8\left( x-\frac{5}{2} \right)=3x\]

or,                         \[8x-20=3x\]

or,                         \[8x-3x=20\]

[Transposing 3x to LHS and 20 to RHS]

or,                         5x = 20

[Dividing both sides by 5]

or,                    \[x=\frac{20}{5}~~~~~~~~~~~~~\]

or,                                x = 4

Hence, the required number is 4.