Question

the numerator of a fraction is 7 less than the denominator if 3 is added to the numerator and2 is added to the denominator the value of the fraction becomes 2/3 find the original fraction
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Answer 1

Step-by-step explanation:

Let the numerator be x and

the denominator be y

Given that numerator of a fraction is 7 less than its denominator

Therefore, x+7=y ------(1)

Given that if the denominator increased by 9 and the numerator by 2 then the fraction is 2/3

Therefore, X+2/y+9 = 2/3

⟹3x+6=2y+18

⟹3x−2y=12

⟹3x−2(x+7)=12

⟹x−14=12

⟹x=26

⟹y=26+7=33 (from (1))

Therefore, the fraction is 26/33

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