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Three-forth of a number is 60 more than its one-third. The number is :
Answer & Solution
Correct Answer:
Option
C
Let the number be x
Then,
$$\eqalign{ & \Leftrightarrow \frac{3}{4}x - \frac{1}{3}x = 60 \cr & \Leftrightarrow \frac{{5x}}{{12}} = 60 \cr & \Leftrightarrow x = \left( {\frac{{60 \times 12}}{5}} \right) \cr & \Leftrightarrow x = 144 \cr} $$
Then,
$$\eqalign{ & \Leftrightarrow \frac{3}{4}x - \frac{1}{3}x = 60 \cr & \Leftrightarrow \frac{{5x}}{{12}} = 60 \cr & \Leftrightarrow x = \left( {\frac{{60 \times 12}}{5}} \right) \cr & \Leftrightarrow x = 144 \cr} $$
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