Question

if numerator of a fraction is increased by 1 and denominator is decreased by 1 then fraction becomes 1 by 2 if numerator is increased by 1 less than twice of itself and denominator is increased by 2 more than thrice of itself then fraction becomes 1 by 6 the original fraction is​

Answer 1

Answer:

Step-by-step explanation:

let numerator=x

let denominator =y

so, fraction=x/y

according to first condition,

x+1/y-1 = 1/2

⇒2 x+2=y-1

⇒2 x-y+3=0⇒A

according to second condition,

2 x-1/3 y+2 =1/6

⇒12 x-6=3 y+2

⇒12 x-3 y-8=0⇒B

multiply A by 3

so,6 x-3 y+9=0⇒C

solving B and  C by elimination method

12 x-3 y-8=0

6 x-3 y+9=0

-      +    -

⇒6 x-17=0

⇒ x=17/6

put the value of x in A

⇒2 (17/6)-y+3=0

⇒17/3-y+3=0

⇒17-3 y+9=0

⇒-3 y+26=0

⇒ y=26/3

so, fraction=x/y

                 =17/6 / 26/3

                 =17/52

Answer 2

Answer: THE FRACTION IS :

$\frac{2}{7}$ OR 2/7

Step-by-step explanation:

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