SOLUTION: if 2 is added to the numerator and 3 to the denominator of a fraction, its value will be 3/4. if 3 is subtracted from the numerator and 1 from the denominator, its value will be 1/

Question 1103438: if 2 is added to the numerator and 3 to the denominator of a fraction, its value will be 3/4. if 3 is subtracted from the numerator and 1 from the denominator, its value will be 1/4. What is the fraction?
Found 2 solutions by josgarithmetic, richwmiller:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!

USING ALGEBRA.
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OR

The fraction .

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What happens if you take each of those in reverse?

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NO GOOD!
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
The other tutor has the correct answer n=4 d=5 but his method of checking the answer is invalid.
(n+2)/(d+3)=3/4
(n-3)/(d-1)=1/4
substitute 4 for n and 5 for d
(4+2)/(5+3)=3/4
6/8=3/4
reduce 6/8
3/4=3/4
ok
(4-3)/(5-1)=1/4
1/4=1/4
ok
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