Question 23

The difference between $$\frac{1}{3}$$and $$\frac{1}{4}$$of a number is equal to its square root. Find the number.

Solution

Let say , number is x.

So,

$$\frac{x}{3}-\frac{x}{4}=\sqrt{x\ }.$$

or,$$\frac{4x-3x}{12}=\sqrt{x\ }.$$

or,$$\frac{x}{12}=\sqrt{x\ }.$$

or,$$\frac{x^2}{144}=x.\ \left(taking\ square\ on\ both\ side\right)\ $$

or,$$x=144.\ \left(as\ x\ne\ 0\right).$$

D is correct choice.

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