SOLUTION: A fraction becomes 3/4 if 3 is added to both the numerator and denominator if 1 is subracted from the numerator and 1 is added to the denominator then it becomes 1/3 find the frac
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Question 990827: A fraction becomes 3/4 if 3 is added to both the numerator and denominator if 1 is subracted from the numerator and 1 is added to the denominator then it becomes 1/3 find the fraction Answer by Timnewman(323) (Show Source):
You can put this solution on YOUR website! Hi dear,
the fraction is 3/5.
HERE IS THE WORKING:
Let the fraction be x/y
Then,from your first sentence,
4(x+3)=3(y+3)
4x+12=3y+9
4x-3y=-3----(1)
From your second sentence,
3(x-1)=y+1
3x-3=y+1
3x-y=4----(2)
Fro equ 2,
y=3x-4---(3)
put 3 in 1
4x-3(3x-4)=-3
4x-9x+12=-3
-5x=-15
x=3
put x=3 in equ 3
y=3(3)-4
y=9-4
y=5
Then,the fraction becomes 3/5
HOPE THIS HELPS?
::TIMNEWMAN::
