The denominator of a rational number is greater than its numerator by 3. If 3 is subtracted from the numerator and 2 is added to the denominator, the new number becomes 1/5. Find the original number. PLEASE ANSWER IN ONE VARIABLE.
ayush78685771:
answer hoga 5/8
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Answered by
63
Answer:
Fraction = 5/8
Step-by-step explanation:
Let the numerator be x
Denominator = x + 3
According to the question,
=> (x - 3)/(x + 3 + 2) = 1/5
=> 5(x - 3) = x + 5
=> 5x - 15 = x + 5
=> 5x - x = 5 + 15
=> 4x = 20
=> x = 20/4 = 5
∴ Numerator = x = 5
Denominator = x + 3 = 5 + 3 = 8
Hence,
Fraction = Numerator / Denominator = 5/8
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24
Answer:
here is your answer
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