Question

The sum of a number and its half is $84$. Number will be-

• A. $65$
• B. $56$
• C. $66$
• D. None of these

Answer 1

The correct option is B $56$

Let the number be $x$
According to the question, the number$+\frac{1}{2}$ of the number $=84$
$\Rightarrow$ $x+\frac{x}{2}=84$
$\Rightarrow$ $\frac{2x+x}{2}=84$
$\Rightarrow$ $3x=84\times 2$
$\Rightarrow$ $x=\frac{84\times 2}{3}$
$\Rightarrow$ $x=56$
Hence the number is $56$