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