Question

the sum of two numbers is equal to 4 / 5 and their difference is equal to 9 /10what is the representative ratio between the difference of their square and their sum?​

Answer 1

Answer:

9:10

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

$let \: larger \: number \: be \: x \: and \: smaller \: be \: y... \\ \\ according \: to \: question.. \\ \\ x + y = \frac{4}{5}.....x = \frac{4}{5} - y \\ \\ x - y = \frac{9}{10} \\ \\ (\frac{4}{5} - y) - y = \frac{9}{10} \\ \\ \frac{4}{5} - 2y = \frac{9}{10} \\ \\ - 2y = \frac{9}{10} - \frac{4}{5} \\ \\ - 2y = \frac{1}{10} \\ \\ y = - \frac{1}{20} \\ \\ x + y = \frac{4}{5} \\ \\ x - \frac{1}{20} = \frac{4}{5} \\ \\ x = \frac{4}{5} + \frac{1}{20} \\ \\ x = \frac{17}{20} ........x = \frac{17}{20} \\ \\ so....x = \frac{17}{20} \: \: and \: \: \: y = - \frac{1}{20} \\ \\ \frac{x + y}{x - y} = \frac{ \frac{17}{20} - \frac{1}{20} }{ \frac{17}{20} + \frac{1}{20} } \\ \\ = \frac{ \frac{16}{20} }{ \frac{18}{20} } \\ \\ = \frac{16}{18} .................. \\ \\ so \: ratio \: of \: addition \: to \: sbtraction \\ of \: x \: and \: y \: is \: \frac{16}{18} .....$=8/9

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