SOLUTION: If the numerator and denominator of a fraction is increased by 2 the fraction beomes 5/7 and if the denominator is decreased by 1 the fraction becomes 3/4. Find fraction.
Question 355671: If the numerator and denominator of a fraction is increased by 2 the fraction beomes 5/7 and if the denominator is decreased by 1 the fraction becomes 3/4. Find fraction. Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! let x be the numerator
y the denominator
x+2/y+2 =5/7
7(x+2)=5(y+2)
7x+14=5y+10
7x-5y=-4.....................1
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x/y-1 = 3/4
4x=3(y-1)
4x=3y-3
4x-3y=-3.....................2
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multiply equation1 by -4 and equation 2 by 7 and add them to eliminate x
-28x+20y=16
28x-21y=-21
-y=-5
y=5
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plug value of y in equation 1
7x-25=-4
7x=21
/7
x=3
so the fraction is 3/5
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m.ananth@hotmail.ca
