Question

the denominator of a rational number is greater than its numerator by 7.if the numerator is increased by 4 and the denominator is decreased by 8,the new rational number is 8/3. find the original rational number? don't spam it otherwise I will report u​

Answer 1

$Let \: the \: numerator \: of \\ the \: rational \: number \: be \: x. \\ So \: as \: per \: the \: given \: condition, \: the \: \\ denominator \: will \: be \: x + 7. \\ The \: rational \: number will \: be \: \frac{x}{x + 7} \\ According \: to \: the \: given \: conditions,$

$x + \frac{4}{x} + 7 - 1 = \frac{8}{3} \\ x + \frac{4}{x} +6 = \frac{8}{3} \\ 3(x + 4) = 8(x + 6) \\ 3x + 12 = 8x + 48 \\ 3x - 8x = 48 - 12 \\ 5x = 36 \\ x = \frac{36}{5}$

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Answer 2

Answer:

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