the denominator of a fraction is 5 more than the numerator . increasing the numerator and denominator by 3 we get the fraction 1/2 . find the fraction
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Given :
⬤ Denominator of fraction 5 more than the Numerator .
⬤ Increasing the Numerator and Denominator by 3 we get the Fraction 1/2 .
To Find :
⬤ The Fraction .
Solution :
Let :
- Numerator be = x .
- Denominator be = x + 5 .
Increasing the Numerator and Denominator by 3 . Hence ,
- Numerator = x + 3
- Denominator = x + 5 + 3
Now :
2(x + 3) = 1(x + 8)
2x + 6 = x + 8
2x - x = 8 - 6
x = 2
Therefore , The Value of x is 2 .
Hence ,
Numerator = x
= 2
Denominator = x + 5
= 2 + 5
= 7
Therefore , The Numerator is 2 and the Denominator is 7 .
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