Question

when 16 is added to a number, it is increased by 16 2/3%.find the number. ​

Answer 1

$\bold {Question:}$

When 16 is added to a number, it is increased by 16 2/3%. Find the number.

$\bold {Solution :}$

Let the required number be x.

Atq,

$= > x + 16\frac{2}{3}\% \:o f \: x = x + 16 \\= >x+\frac {50}{3}\%\:of\:x=x+16\\ = > x + \frac{50}{3} \times \frac{1}{100} \times x = x + 16 \\ = > x + \frac{x}{6} = x + 16 \\ = > x + \frac{x}{6} - x = 16 \\ = > \frac{6x + x - 6x}{6} = 16 \\ = > \frac{x}{6} = 16 \\ = > x = 6 \times 16 \\ = >x=96$

$\fbox{\green{Required\:number=96}}$

$\bold {Verification :}$

$= > 96 + 16\frac{2}{3}\% \:o f \: 96 = 96+ 16 \\= >96+\frac {50}{3}\%\:of\:96=112\\= >96+\frac {50}{3}\times \frac{1}{100}\times 96=112\\= >96+16=112\\= >112=112\\ =>LHS=RHS$

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