The sum of the numerator and denominator of a fraction is 12. If the denominator is increased by 3, the fraction becomes 1/2. What is the fraction?

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Answer 1 · 2017-07-15T14:43:43

I got #5/7#

Let call our fraction #x/y#, we know that:

#x+y=12#

and

#x/(y+3)=1/2#

from the second:

#x=1/2(y+3)#

into the first:

#1/2(y+3)+y=12#

#y+3+2y=24#

#3y=21#

#y=21/3=7#

and so:

#x=12-7=5#