Question

Question 96

Twice a number added to half of itself equals 24. Find the number.

Answer 1

Let the number be x. Then, twice of this number = 2x and half of this number = $\frac{1}{2}x.$
According to the question, $2x+\frac{1}{2}x=24$
Multiplying both sides by 2, we get 4x + x = 48
$\Rightarrow 5x=48\Rightarrow \frac{5x}{5}=\frac{48}{5}\left[dividingbothsidesby5\right]\Rightarrow x=9.6$
Hence, the required number is 9.6.