Question

(4)
23. If 35 % of a number added to 39 is the number itself, the number is
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Answer 1

Answer:

$\bf{Let \: the \: number \: be \: x}$

$\bf{35\% \: of \: a \: number}$

$\bf{ = \frac{35x}{100} + 39 = x}$

$\bf{Then \: x \: - \: \frac{7x}{20} = 39}$

$\bf{x = \frac{20 \times 39}{13}}$

$\bf{x = 60}$

Answer 2

Answer :-

• let the number be x

then, according to the question (if 35% of a number is added to 39 then, the result is the number itself)

$\bold{: \implies x \times \frac{35}{100} + 39 = x} \: \: \: \: \\ \\ \bold{: \implies \frac{35x + 3900}{100} = x } \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies \: 35x + 3900 = 100x} \\ \\ \bold{: \implies 100x - 35 x= 3900} \: \\ \\ \bold{: \implies 65x = 3900} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies x = \cancel \frac{3900}{65} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bold{: \implies x = 60} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

hence, the number is 60