SOLUTION: The numerator and denominator of a fraction are in a ratio 2:3. If 8 is added to both numbers, the new fraction becomes 10:13. Find the original fraction.

Question 685055: The numerator and denominator of a fraction are in a ratio 2:3. If 8 is added to both numbers, the new fraction becomes 10:13. Find the original fraction.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Let the common factopr of the ratio be x
numberator will be 2x
denominator will be 3x

cross multiply
13(2x+8)=10(3x+8)
26x+104 = 30x+80
30x-24x=104-80
6x=24
x= 4
2x=8
3x=12
8/12 is the fraction
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