In a fraction twice the numeration
is 2 mora than the denominator
If 3 is added to the numerator
and to the denominator the new
fraction is 2/3
find the original fractoin
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Answer:
Let the numerator be x
Denominator = 2x − 2
Therefore the fraction = x/2x − 2
Given when 3 is added to both the numerator and denominator, the fraction becomes 2/3.
Hence (x + 3)/(2x − 2 + 3) = 2/3
⇒ (x + 3)/(2x + 1) = 2/3
⇒ 3x + 9 = 4x + 2
⇒ x = 7
Therefore the fraction is 7/12.
Step-by-step explanation:
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