Question

the sum of a denominator and numerator of a fraction is equal to 30 if 3 is added to each of numerator and denominator the fraction becomes 4/5 find the fraction

Answer 1

Answer:

Step-by-step explanation:

let the numerator be x , denominator be y

x + y =30 , x = y-30

x+3/y+3 = 4/5

4x+12=3y+9

4(30-y) + 12 -3y-3=0

32+3-7y =0

y = 5

x = 3

Answer 2

Numerator = x

Denominator = 30-x

Original fraction = x/30-x

3 is added

Numerator = x+3

Denominator = 30-x+3

= 33-x

A/q, x+3/33-x = 4/5

5(x+3) = 4(33-x)

5x + 15 = 132-4x

5x + 4x = 132 - 15

9x = 117

x = 117/9

x = 13

Numerator = 13

Denominator = 30-x = 30-13

= 17

Original fraction = 13/17

Hope this helps you!