Question

If the sum of one-half and one-fifth of a number exceeds one-third of that number by $7\frac{1}{3}$ then the number is

• A. 15
• B. 18
• C. 20
• D. 30

Answer 1

The correct option is C 20

Let the number be $x$
Given $(\frac{x}{2}+\frac{x}{5})-\frac{x}{3}=7\frac{1}{3}=\frac{22}{3}$
$\Rightarrow \frac{15x+6x-10x}{30}=\frac{22}{3}$
$\Rightarrow \frac{11x}{30}=\frac{22}{3}\Rightarrow x=\frac{220}{11}=20$