Question

if numerator and denominator are increased by 20% and 30% the fraction becomes 9/13 what was original fraction

Answer 1

Answer:

x= 3 & y= 4

Step-by-step explanation:

let the fraction be x/y

now 20% of x= 20x/100

= x/5

now adding the 20% of x and x we get our new numerator= 6x/5

now 30% of y= 30y/100

= 3y/10

now adding the 30% of y and y we get our new denominator= 13y/10

ATQ,

6x/5 / 13y/10 = 9/13

6x/5*10/13y = 9/13

12x/13y = 9/13                  ( on dividing both the equations by 13 )

12x = 9y

4x = 3y                             ( on dividing both the equations by 3 )

x/y = 3/4

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Answer 2

Answer:

x= 3 & y= 4

Step-by-step explanation:

let the fraction be x/y

now 20% of x= 20x/100

= x/5

now adding the 20% of x and x we get our new numerator= 6x/5

now 30% of y= 30y/100

= 3y/10

now adding the 30% of y and y we get our new denominator= 13y/10

ATQ,

6x/5 / 13y/10 = 9/13

6x/5*10/13y = 9/13

12x/13y = 9/13 (on dividing both the equations by 13 )

12x = 9y

4x = 3y( on dividing both the equations by 3 )

x/y = 3/4