Question

Alia thinks of a number and subtracts $\frac{5}{2}$ from it. She multiplies the result by 8. The result now obtained is 6 times the same number she thought of. What is the number she thought of ?

Answer 1

$\text{Let the number which Alia initially thought of be x.}$

$\text{She subtracts}\frac{5}{2}\text{from x and then}\text{multiplies it by 8.}$
$\Rightarrow (x–\frac{5}{2})\times 8$

$\text{According to the question,}(x–\frac{5}{2})\times 8=6\times x8x–20=6x8x–6x=202x=20x=\frac{20}{2}x=10$

Thus, the number that Alia initially thought of is 10.