Question

When 50 is added to 50% of a number,then the number becomes itself.The required number is........?

Answer 1

$\color {red} </p><p>\Large \underline {\underline {Question \: :}}$

When 50 is added to 50% of a number, then the number becomes itself. The required number is _____?

$\color {red} </p><p>\Large \underline {\underline {Answer \: :}}$

Let the number be x.

$50\% \: of \: x \: + 50 = x$

$\frac{50}{100} x + 50 = x$

$\frac{1}{2} x + 50 = x$

$50 = x - \frac{1}{2} x$

$5 0 = \frac{1}{2} x$

$x = 50 \times 2$

$x = 100$

$\implies$ So, the required number is 100.

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