Question

the denominator of the number is twice its numerator. if the numerator is decreased by 3 and the denominator increased by 7, the number obtained is 2/5. find the rational number

Answer 1

Answer:

$\frac{x - 3}{2x + 7} = \frac{2}{5} \\ 5(x - 3) = 2(2x + 7) \\ 5x - 15 = 4x + 14 \\ 5x - 4x = 14 + 15 \\ x = 29 \\ \frac{x}{2x} = \frac{29}{58}$

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