Question

The sum of the numerator and denominator of a fraction is 1 less than thrice the numerator. If the numerator and denominator are increase by 2 the ratio of numerator to denominator would be 3:5.find the fraction.


Plz give me steps to do this sum

Answer 1

Step-by-step explanation:

according to question

n+d = 3n -1. .....(1)

(n+2)÷d+2 = 3÷5

by simplifying the equation we get....

3d - 5n = 4. .....(2)

putting the value of n from equation 1 in equation 2 we get....

3d - 5(d+1)/2 = 4

6d - 5d -2 = 8

d = 10

put d = 10 in equation 1

n =11/2

fraction = n÷d = (11/2)÷10

= 11/20