in a fraction an twice the numerator is 2 more than the denominator. if 3 is added to the numenrator and to the denominator the new fraction is 2/3. find the original fraction
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Step-by-step explanation:
solve the above eq and u will get thr answer
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Let the numerator be x
Denominator =2x−2
Therefore the fraction =
2x−2
x
Given: when 3 is added to both the numerator and denominator, the fraction becomes
3
2
.
Hence
(2x−2+3)
(x+3)
=
3
2
(2x+1)
(x+3)
=
3
2
⇒3x+9=4x+2
⇒x=7
∴ the fraction is
12
7
.
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