When the numerator of a fraction is increased by 2 and the denominator by 1, the fraction becomes equal to - Maths - Simultaneous Linear Equations

Question

When the numerator of a fraction is increased by 2 and the
denominator by 1, the fraction becomes equal to 5/8 and if the
numerator and denominator are each diminished by 1, the fraction
becomes 1/3 Find the fraction

Roopam Pandey · Accepted Answer

Dear student,Let the numerator be x and denominator be yfraction =xyNow,x+2y+1=588x+16=5y+58x-5y+11=0       
(1)alsox-1y-1=133x-3=y-13x-y-2=0   
(2)from (2)y=3x-2put in (1)8x-53x-2+11=08x-15x+10+11=-7x+21=07x=21x=3⇒y=3x-2=9-2=7y=7therefore fradction is 37Regards

When the numerator of a fraction is increased by 2 and the denominator by 1, the fraction becomes equal to 5/8 and if the numerator and denominator are each diminished by 1, the fraction becomes 1/3. Find the fraction