the product of two fractions is 5/27 and their difference is 11/18. find the two fractions

@PRIYESH1995: Good answer! Keep posting!

 

Let one fraction be x.

Given, One fraction × Other fraction

x × Other fraction

⇒ Other fraction

Given, difference of fraction

∴ One fraction – Other fraction

When ,

One fraction

Other fraction

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let the fractions be x and y

according to condition

xy=5/27

y=5/27x  ....1

x-y=11/18  .....2

putting the value of y in equation 2

x- 5/27x=11/18

=>54x2 + -33x -10=0

solve this by quadratic formula

x=5/6 or -2/9

if x =5/6 then putting this value in equation 1

y =5*6/27*5

y=2/9

if x =-2/9 then putting this value in equation 1

y = -5/6

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