1.

A fraction is such that if the numerator is multiplied by3 and denominator is reduced by 2, we get 18/12, but if the numerator is increased by8 and denominator is doubled ,we get 2/6. Find the fraction.​

Answer»

LET the fraction be  

y

X

Then, according to the given conditions, we have

y−3 /3X =  11/18

 and  

2y /x+8 =  5/2

⇒11x−6y−18 and 5x+40=4y

⇒11x−6y+18=0 and 5x−4y+40=0

By cross-multiplication, we have

(−6)×40−(−4)×18 x =  11×40−5×18−y

=  11×(−4)−5×(−6)1

⇒  

−240+72x =  440−90−y =  −44+301

⇒  −168x =  −350y =  −14 1

⇒x=  −14/−168

 and y=  −14/−350

⇒x=12 and y=25

Hence, the fraction is  25/12

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