Question

A fraction becomes 8/11 if 3 is added to both numerator and denominator ,also if 3 is subtracted from the numerator and denominator it becomes 2/5. Find the fraction?​

Answer 1

Step-by-step explanation:

let the fraction be x/y

now if we add 3 with the nominator and denominator

we get

x + 3 / y + 3 = 8 / 11

=> 11(x + 3 )= 8(y + 3)

=>11x + 33 = 8y + 24

=>11x - 8y + 33 - 24 =0

=> 11x - 8y + 9=0

now, again

if we subtract 3 from numenator and denominator

we get

x - 3/ y - 3 =2 / 5

=> 5( x - 3 ) = 2 ( y - 3 )

=> 5x - 15= 2y - 6

=> 5x - 2y - 15 + 6 = 0

=> 5x - 2y - 9 = 0

by solving the equation by any of the methods,

we get,

x= 3 and y = 3

thus, the fraction is 3/3 or 1.

Answer 2

Answer:

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