Question

the denominator of a common fraction exceeds the number by 7 if 6 is added to the numerator as well as the limit of the new fraction of 3/4 find the original fraction fraction​

Answer 1

Answer:

Let the numerator be x

So, the dinominator be x + 10

Original Fraction = x / x + 10

If 8 is Added to both -

Numerator = x + 8

Dinominator = x + 10 + 8 = x + 18

According to Question,

x + 8 / x + 18 = 5 / 6

=> 6(x + 8) = 5(x + 18)

=> 6x + 48 = 5x + 90

=> 6x - 5x = 90 - 48

=> x = 42

Required Fraction -

Numerator = x = 42

Dinominator = x + 10 = 42 + 10 = 52

Hence, the original Fraction is 42/52