Q15 of 54 Page 77

The denominator of the fraction is 3 more than the numerator. If 5 is added to both the parts, the resulting fraction is equivalent to 4 by 5. Find the fraction.

Let numerator be x and denominator be y

According to question


Y = 3 + x ……(1)


If 5 is added to both parts the resulting fraction is equivalent to





5(x + 5) = 4 (x + 8)


5x + 25 = 4x + 32


5x – 4x = 32 – 25


x = 7


Put x = 7 in (1)


y = 3 + x


y = 3 + 7


y = 10



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