Q2 of 157 Page 38

Frame and solve the equations for the following statements:

The denominator of a fraction is 2 more than its numerator. If one is added to both the numerator and their denominator the fraction becomes Find the fraction.

Let the numerator be x


Then the denominator = x + 2


Then according to the question,




⇒ 3(x + 1) = 2(x + 3)


⇒ 3x + 3 = 2x + 6


⇒ 3x – 2x = 6 – 3


⇒ x = 3 (Numerator)


⇒ x + 2 = 3 + 2 = 5 (Denominator)


Hence, the fraction is


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