The numerator of a fraction is 4 less than the denominator if 1 is added to both its numerator and denominator it becomes ½ find the fraction
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=>x=y-4
=>then x+4=y
=>x+1/y+1=1/2
=>x+1/x+4+1=1/2
=>x+1/x+5=1/2
=>2(x+1)=1(x+5). [cross multiplication]
=>2x+2=1x+5
=>2x-1x=5-2
=>x=3
=>y=x+4
=>y=3+4
=>y=7
=>3/7
=>then x+4=y
=>x+1/y+1=1/2
=>x+1/x+4+1=1/2
=>x+1/x+5=1/2
=>2(x+1)=1(x+5). [cross multiplication]
=>2x+2=1x+5
=>2x-1x=5-2
=>x=3
=>y=x+4
=>y=3+4
=>y=7
=>3/7
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