Question

Anita thinks of a number and subtracts $\frac{3}{2}$ from it. She multiplies the result by 8. The result obtained is 5 times the same number she thought of. Which number did she think of?

• A. 2
• B. 4
• C. 6
• D. 8

Answer 1

The correct option is B 4

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

She subtracts $\frac{3}{2}$ from x and then multiplies it by 8.
$(x–\frac{3}{2})\times 8$

According to the question,
$\text{(x}–\frac{3}{2})\times 8=5\times x⟹8x–12=5x⟹8x–5x=12⟹3x=12⟹x=\frac{12}{3}⟹x=4$

Thus, the number that Anita initially thought of is 4.