Question

The sum of the numerator and denominator of a fraction is 8. If 3 is added to both then the fraction is 1) 33/23 2) 23/33 3) 44/7 4) 7/44​

Answer 1

Answer:

Let the numerator =x and the denominator =y

So, the fraction =yx 

According to the question,

Condition I:

x+y=8

⇒y=8−x…(i)

Condition II:

y+3x+3=43

⇒4(x+3)=3(y+3)

⇒4x+12=3y+9

⇒4x−3y=−3…(ii)

On putting the value of y in Eq.(ii), we get 

4x−3(8−x)=−3

⇒4x−24+3x=−3

⇒7x=21

⇒x=3

On putting the value of x in Eq. (i), we get 

y=8−3

⇒y=5

So, the numerator is 3 and the denominator is 5 

Hence, the fraction is 53