Question

A Fraction is such that if numenator is multiplied by 3 and denominator is reduced by 3 is 18/11 but numenator is increased by 8 and denominator is doubled we get 2/5 find the fraction .​

Answer 1

Answer:

12/25

Step-by-step explanation:

let the fraction be x/y

if[x*3]/[y-3]=18/11

cross multiply

3x*11=18y-54

33x=18y-54[equation 1]

if[x+8]/[y*2]=2/5

5x+40=2*2*y

5x+40=4y[equation 2]

eq2*33,eq 1*5

165x+1320=132y

165x+270=90y

42y=1050

y=25

5x+40=4[25]

5x+40=100

5x=60

x=12