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If a certain number is added to both the numerator and denominator of the fraction 5/7, the result is 3/5 Find the number.

If a certain number is added to both the numerator and denominator of the fraction 5/7, the result is 3/5 Find the number.
asked 160k views
14 votes
If a certain number is added to both the numerator and denominator of the fraction 5/7, the result is 3/5

Find the
number.

asked
User Vladzaba
by
8.3k points

1 Answer

10 votes

Answer:

Let the number be x:

then


(5+x)/(7+x)=3/5\\5(5+x)=3(7+x)\\25+5x=21+3x\\5x-3x=21-25\\2x=-4\\x=-2

answered
User Mateo Randwolf
by
8.8k points
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