Q. 9

# The sum of the numerator and denominator of a fraction is 12. If the denominator is increased by 3, the fraction becomes 1/2. Find the fraction.

Answer :

Let the numerator be ‘a’ and denominator be ‘b’.

Given, sum of the numerator and denominator of a fraction is 12.

⇒ a + b = 12 ……(1)

If the denominator is increased by 3, the fraction becomes 1/2 .

So,

⇒ 2a = b + 3

⇒ 2a – b = 3 …… (2)

Adding eq1 and eq2

⇒ a + b + 2a – b = 15

⇒ 3a = 15

⇒ a = 5

Thus, b = 7

Fraction is

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