Q98 of 113 Page 110

If numerator is 2 less than denominator of a rational number and when 1 is subtracted from numerator and denominator both, the rational number in its simplest form is 1/2 . What is the rational number?

Suppose the denominator of the rational number is x.

Then, according to the question, numerator = Denominator – 2


= x – 2


Now,



On cross multiplying we get,


2(x-2-1) = x -1


⇒ 2(x-3) = x-1


⇒ 2x – 6 = x- 1


⇒ x = 5


Hence, the denominator = 5


And numerator = 5-2 = 3


∴ the rational number =


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