Question

the dinominater of a ratonal number is greatr than its numerator by 7.if the numerator is increased by 17 and the denominator decreasd by 6, the new number becomes 2 .find the original number​

Answer 1

Answer:

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$let \: the \: numerator \: be = x = x + 17 \\ let \: the \: denominator \: be \: = x = x + 7 - 6 = x + 1 \\ fraction \: become = \frac{x + 17}{x + 1} \\ \frac{x + 17}{x + 1} = 2 \\ \frac{x + 17}{x + 1} \times \frac{2}{1} \\ 1(x + 17) = 2(x + 1) \\ x + 17 = 2x + 2 \\ x - 2x = 2 - 17 \\ - x = - 15 \\ x = 15(negative \: sign \: cancelled \:</strong> by \: each \: other)$

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