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Roman55 [17]
2 years ago
13

The denominator of a rational numbers is twice it’s numerator if the numerator is decreased by 3 and the denominator increased b

y 7 the number obtained is 2/5 find the rational number
Mathematics
1 answer:
ASHA 777 [7]2 years ago
8 0

Answer:

\frac{29}{58}

Step-by-step explanation:

let x be the numerator of the rational number then 2x is the denominator

original fraction = \frac{x}{2x}

subtracting 3 from numerator and adding 7 to denominator , gives

\frac{x-3}{2x+7} = \frac{2}{5} ( cross- multiply )

5(x - 3) = 2(2x + 7) ← distribute parenthesis on both sides )

5x - 15 = 4x + 14 ( subtract 4x from both sides )

x - 15 = 14 ( add 15 to both sides )

x = 29

rational number = \frac{29}{58}

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