Question

2 numbers add up to 30. 2% of one =3% of another. find the numbers

Answer 1

$Let \: one \: number \: be \: x \\ and \: another \: one \: be = 30 - x$
$\frac{2x}{100} = \frac{3}{100} (30 - x) \\ \\ \frac{2x}{100} = \frac{90 - 3x}{100} \\ \\ 2x(100) = 100(90 - 3x) \\ \\ 2x = \frac{100(90 - 3x)}{100} \\ \\ 2x = 90 - 3x \\ 2x + 3x = 90 \\ 5x = 90 \\ x = \frac{90}{5} = 18$
Hence, We knew that 1st number is 18 and 2nd number is (30-18 = 12)