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Algebra> Please explain how to solve ques no. 4. T...

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Please explain how to solve ques no. 4. The answer given is 8.

Gargi , 7 Years ago

Grade 12

2 Answers

Anish Singhal

If the expression on LHS is greatest integer then it is not possible

Last Activity: 7 Years ago

jagdish singh singh

$\hspace{-0.75 cm}$ Given $\lfloor \frac{x}{3}\rfloor +\lfloor \frac{x}{4}\rfloor+\lfloor \frac{x}{6}\rfloor =\frac{3x}{4}$\\\\ So $\frac{x}{3}-\lfloor \frac{x}{3}\rfloor+\frac{x}{4}-\lfloor \frac{x}{4}\rfloor+\frac{x}{6}-\lfloor \frac{x}{6}\rfloor =0$\\\\ So $\{\frac{x}{3}\}+\{\frac{x}{4}\}+\{\frac{x}{6}\}=0\cdots (1)$\\\\ Given $x\in \{1,2,3,4,5,\cdots ,100\}$\\\\ So equation $(1)$ is true when $x\in 6n,1\leq n\leq 100$\\\\ So Total $8$ values of $x.$$

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Last Activity: 7 Years ago

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