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

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\color {red} \Large \underline {\underline {Question \: :}}

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

\color {red} \Large \underline {\underline {Answer \: :}}

LET the number be x.

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

\frac{50}{<klux>100</klux>} 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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