Question

the denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 1, the number obtained is 3/2. Find the rational number.​

Answer 1

$\large\underline\mathfrak\red{Solution \: :- }$

Correct question :-

• the denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 the number obtained is 3/2. Find the rational number.

Let the rational number be x

By seeing all condition in the question

the equation will be

$\sf\implies{ \frac{x + 17}{x + 8} = \frac{3}{2} }$

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How to find the rational number ?

• The value of x is rational number

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Finding x

$\sf\implies{ \frac{x + 17}{x + 8} = \frac{3}{2} }$

$\sf\implies{2(x + 17) = 3(x + 8) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \sf\implies{2x + 34 = 3x + 24} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf\implies{34 - 24 = 3x - 2x} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf\implies{x = 10} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

${\large{\underline{\boxed{\bf{\red{x = 10 }}}}}}</h3><h3>$

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