Question

Question 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?

Answer 1

Let Amina think a numberx.
According to the question, $8(x-\frac{5}{2})=3x$
$\Rightarrow 8x-\frac{8\times 5}{2}=3x\Rightarrow 8x-4\times 5=3x$
$\Rightarrow 8x-20=3x\Rightarrow 8x-3x=20$
$\Rightarrow 5x=20\Rightarrow x=\frac{20}{5}=4$