Question

The sum of the numerator and the denominator of a fraction is 8. If 3 is added to both the numerator and denominator, the fraction becomes 3/4. ​

Answer 1

Answer: x= 3, y= 5

Step-by-step explanation:

Consider numerator and denominator as x and y

Given the sum of numerator and denominator is 8

Hence, x+y= 8 --(1)

Given, if 3 is added to both the numerator and denominator, then the value is 3/4

Therefore, x+3/ y+3= 3/4

4(x+3)=3(y+3)

4x+12=3y+9

4x-3y=9-12

4x-3y=-3 --(2)

Consider (1) & (2)

(1)*3=>3x+3y=24

(2)=>4x-3y=-3

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7x=21

x=3

Substitute x=3 in (1)

x+y=8

3+y=8

y=8-3

y=5