Suraj was asked to multiply a number by 2, but by mistake, he divided the number by 2. If his answer was less than the correct answer by 3822, what was the number ?

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Solution

Let the number be x
$\frac{x}{2} = 2 x - 3822$
$\Rightarrow 3822 = 2 x - \frac{x}{2}$
$\Rightarrow 3822 = \frac{3 x}{2}$
$x = \frac{3822 \times 2}{3}$
$x = 2548$ .

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Suraj was asked to multiply a number by 2, but by mistake, he divided the number by 2. If his answer was less than the correct answer by 3822, what was the number ?

Let the number be xx2=2x−3822⇒3822=2x−x2⇒3822=3x2x=3822×23x=2548.

Let the number be x
$\frac{x}{2} = 2 x - 3822$
$\Rightarrow 3822 = 2 x - \frac{x}{2}$
$\Rightarrow 3822 = \frac{3 x}{2}$
$x = \frac{3822 \times 2}{3}$
$x = 2548$ .