Q17 of 102 Page 49

The numerator of any fraction is 4 less than the denominator. If 2 is subtracted From the numerator and 1 is added to denominator then denominator becomes 8 times the numerator. Find the fraction.

Let numerator be x and denominator be x + 4


When 2 is subtracted from numerator it becomes x - 2


When 1 is added to the denominator it becomes x + 5


According to the problem


8(x - 2) = x + 5


⇒ 8x - 16 = x + 5


⇒ 7x = 21


⇒ x = 3


So the fraction is


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