Question

The sum of a numerator and dinominator of a fraction is 4 more than twice the numerator if 3 is added to each of the numerator and dinominator their ratio become 2:3 find the fraction

Answer 1

Answer:

Step-by-step explanation:

let , num = x

den = y

fraction = x/y

A.T.Q.

X+Y = 4 + 2x

y = 4 + 2x-x

y= 4 + x

x+3/y+3 = 2/3

3[x+3] = 2 [y+3]

3x + 9 = 2y +6

3x +9-6 = 2 [4+x]

3x+3 = 8 + 2x

3x-2x = 8-3

x = 5

y = 4+x = 4+5 = 9

y=9

fraction = 5/9