Question

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

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

• Let the numerator of rational number be 'x'.

• Denominator = 2x

• Now according to the given condition,
• $\frac{x - 3}{2x + 7} = \frac{2}{7} \\ 7(x - 3) = 2(2x + 7) \\ 7x - 21 = 4x + 14 \\ 7x - 4x = 14 + 21 \\ 3x = 35 \\ x = \frac{35}{3} \\ therefore \: the \: numerator \: is \: \frac{35}{3} \\ denominator = 2x = 2 \times \frac{35}{3} = \frac{70}{3}$