016. The denominator of a rational number is greater than its numerator by 5. If the numer
increased by 8 and the denominator is decreased by 1, the new number becomes5/3. Find the original number
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Answer:
2/7
Explanation:
let the let the numerator be X then the denominator will be X + 5
action will be X / (X + 5)
ATQ
Numer. X+8
Denom. X+5-1 = X+4
New fraction is
(X+8) / (X+4) = 5/3
On cross multiplying
3(X+8) = 5(X+4)
3x + 24 = 5x + 20
24-20 = 5x-3x
4 = 2x
X= 2
therefore, denominator will be 2+5 = 7
the fraction is 2/7
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