The denominator of a fraction is 7 more than its numerator. If the numerator is increased by 4 and the denominator is decreased by 8, the new fraction 8/3 . Find the original fraction.
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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
3
2
Therefore,
y+9
x+2
=
3
2
⟹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
33
26
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Answer:
4/11
Step-by-step explanation:
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