The denominator ofa rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1,the number obtained is 3/2. Find the numbet

Respuesta :

Answer:

[tex]y = \frac{13}{21}[/tex]

Step-by-step explanation:

The following rational equation is deducted from statement:

[tex]\frac{3}{2} = \frac{x +17}{x+7}[/tex]

Then, [tex]x[/tex] is cleared in the equation with algebraic handling:

[tex]3\cdot (x+7) = 2\cdot (x+17)[/tex]

[tex]3\cdot x +21 = 2\cdot x + 34[/tex]

[tex]x = 13[/tex]

The rational number is:

[tex]y = \frac{x}{x+8}[/tex]

[tex]y = \frac{13}{21}[/tex]

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