Question

The ratio of two numbers is $3:8$ and their difference is $115$. The larger number is

• A. $69$
• B. $115$
• C. $184$
• D. $230$

Answer 1

The correct option is C $184$

Let the smaller number $=x$ and the greater number $=y$.
Given that their ratio is $3:8$.

$\frac{x}{y}=\frac{3}{8}\Rightarrow x=\frac{3y}{8}$ ....(i)

The given difference $=115$.

Then, $y-x=115$

$\Rightarrow x=y-115$ ........(ii)

Comparing (i) & (ii),

$\frac{3y}{8}=y-115\Rightarrow 5y=920\Rightarrow y=184.$.

So, the greater number is $184$.