the denominator of the friction is 3 more then the Numerater. if 5 is added to both Numerater and denominator . the fraction become 4/5 . find the fraction
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Answer :
- Fraction is 7/10
Given :
- The denominator of the fraction is 3 more than the numerator
- If 5 is added to both numerator and denominator
- The fraction becomes 4/5
To find :
- Fraction
Solution :
- Let the numerator be x
The denominator of the fraction is 3 more than the numerator so,
- Let the denominator be x + 3
If 5 is added to both numerator and denominator so,
- Numerator of fraction be x + 5
- Denominator be x + 3 + 5 = x + 8
The fraction becomes 4/5 so,
- x + 5 / x + 8 = 4/5
➟ x + 5 / x + 8 = 4/5
➟ 5(x + 5) = 4(x + 8)
➟ 5x + 25 = 4x + 32
➟ 5x - 4x = 32 - 25
➟ x = 7
- Numerator = x = 7
- Denominator = x + 3 = 7 + 3 = 10
Hence,Fraction is 7/10
Verification :
➟ x + 5 / x + 8 = 4/5
➟ 7 + 5 / 7 + 8 = 4/5
➟ 12/15 = 4/5
➟ 4/5 = 4/5
Hence, Verified
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