## numerator of a fraction is 2 less than the denominator if 1 is added to the numerator and 3 to the denominator then the fraction becomes 2/3

Question

numerator of a fraction is 2 less than the denominator if 1 is added to the numerator and 3 to the denominator then the fraction becomes 2/3 find the original fraction

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3 weeks 2021-10-07T13:24:49+00:00 1 Answer 0 views 0

7/9

Step-by-step explanation:

Let the denominator be x

According to the question

numerator will be x-2

If 1 is added in numerator, it becomes x-2+1=x-1

If 3 is added to denominator, it becomes x+3

According to the question,

x-1/x+3=2/3

3(x-1)=2(x+3)…..{by cross multiplication}

3x-3=2x+6

3x-2x=6+3

x=9

in original fraction,

x is the denominator

hence, denominator,x =9

numerator =x-2=

9-2=7

ORIGINAL FRACTION:7/9

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