Question

23. The denominator of a rational number is 4 more than its numerator. If 11 is added to the numerator and 1
is subtracted from the denominator, the new number is 7/3.Find the original number.
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Answer 1

Let the numerator be 'x'.

hence, fraction =

$\frac{x}{x + 4 }$

therefore,

$\frac{x + 11}{x + 4 - 1} = \frac{7}{3 }$

$\frac{x + 11}{x + 3} = \frac{7}{3}$

$3(x + 11) = 7(x + 3)$

$3x + 33 = 7x + 21$

$4x = 12$

$x = 3$

therefore,

$fraction \: = \frac{3}{7}$