Q17 of 46 Page 175

The numerator of the rational number is less than its denominator by 3. If the numerator becomes three times and the denominator is increased by 20, the new number becomes . Find the original number.

Let, the denominator = x


The numerator = x – 3


According to problem,



⇒ 24x – 72 = x + 20


⇒ 23x = 92


⇒ x = 4


∴ the original number,



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