Question

On the number line above, the tick marks correspond to consecutive integers. Find the value of $x$.

• A. $96$
• B. $48$
• C. $24$
• D. $192$

Answer 1

The correct option is A $96$

Since, the tick marks correspond to consecutive integers and it takes four steps to go from $\frac{x}{12}$ to $\frac{x}{8}$. Considering each tick as $1$ unit and we know that $\frac{x}{8}$ is greater than $\frac{x}{12}$.
It concludes that $\frac{x}{8}$ is greater than $\frac{x}{12}$ by $4$ unit,
i.e: $\frac{x}{8}$$=$$\frac{x}{12}+4$
Multiplying both sides by $24$ gives: $3x=2x+4\times 24$ ; $x=96$
Hence, option A is correct.