Question

The sum of a number and its positive square roots is 6/25. Find the 100 times the number.

Answer 1

Let the number be $x$

$x+\sqrt{x}=\frac{6}{25}$

$\sqrt{x}=\frac{6}{25}-x$

$x=\frac{1}{25}$

100 times the number

$=100\times \frac{1}{25}$

$=4$