Question

A fraction becomes 4\5 if 1 is added to both mumerator and denominator.if however it is subtract from both numerator and denominator,the fraction becomes 1\2.what is fraction

Answer 1

Let the fraction be p/qgive that the fraction will become 4/5 if 1 is added to numerator and denominatorso4/5 =(p+1)/(q+1)4q+4 = 5p+5and(p-5)/(q-5)=1/22p-10=q-5q= 2p-5SO    4(2p-5) +4 =5p+5   8p-20+4 = 5p+5    3p= 21    p=7Therefore q=2*7-5          q=9So the fraction is 7/9