Question

Three fourth of a number exceeds its one third by $60$. The number is:

• A. $124$
• B. $164$
• C. $144$
• D. $154$

Answer 1

The correct option is C $144$

Let the number be '$x$'.
By the given condition:
$\frac{3x}{4}=\frac{x}{3}+60\Rightarrow \frac{3x}{4}-\frac{x}{3}=60\Rightarrow \frac{9x-4x}{12}=60\Rightarrow 5x=60\times 12\Rightarrow x=\frac{720}{5}=144$
Hence, the number is $144$.