SOLUTION: The ratio of the numerator to the denominator of a fraction is 2 to 3. If both the numerator and denominator are increased by 2, the fraction becomes 3/4. Find the original numerat

Algebra ->  Test -> SOLUTION: The ratio of the numerator to the denominator of a fraction is 2 to 3. If both the numerator and denominator are increased by 2, the fraction becomes 3/4. Find the original numerat      Log On


   

Question 1096828: The ratio of the numerator to the denominator of a fraction is 2 to 3. If both the numerator and denominator are increased by 2, the fraction becomes 3/4. Find the original numerator and denominator.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
X%2FY=2%2F3
3X=2Y
1.3X-2Y=0
and
%28X%2B2%29%2F%28Y%2B2%29=3%2F4
4%28X%2B2%29=3%28Y%2B2%29
4X%2B8=3Y%2B6
2.4X-3Y=-2
.
.
Multiply eq. 1 by 3 and eq. 2 by -2 and add,
9X-6Y-8X%2B6Y=4
X=4
Now use either equation to solve for Y.