Q2 of 25 Page 90

The denominator of a fraction is 1 more than twice its numerator. If 1 is added to numerator and denominator respectively, the ratio of numerator to denominator is
1 : 2. Find the fraction.

Let the numerator be 'x' and denominator be 'y'


Given,


Denominator of a fraction is 1 more than twice its numerator


⇒ y = x + 1 eq.[1]


If 1 is added to numerator and denomination, the ratio of numerator to denominator becomes, 1:2



⇒ 2(x + 1) = y + 1


⇒ 2x + 2 = y + 1


⇒ y - 2x = 1


Using eq.[1] we have,


⇒ x + 1 - 2x = 1


⇒ -x = 0


⇒ x = 0


Putting this in eq.[1]


⇒ y = x + 1


⇒ y = 0 + 1 = 1


Hence, Numerator is 0 and denominator is 1.


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i. x + y = 4; 2x - 5y = 1


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v. 2x +3y + 4 = 0; x – 5y = 11


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