1. The denominator of a fraction is
greater than numerator bu 4. If I is
subtracted from numerator and 3 is
add to the denominator. The value of the
fraction obtained is 1/3find the
original traction.
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Let the numerator and denominator is x .
- The denominator of a fraction is greater than numerator by 4 =>x/x+4.
- If 1 is subtracted from the numerator =x-1/x+4
- 3 is added to the denominator = x-1/x+4+3 =>x-1/x+7
- According to question the original fraction =>x-1/x+7=1/3 => 3(x-3)=x+7 => 3x-3=x+7 =>3x-x=7+3 => 2x=10 =>x=10/2 =>x=5
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