the denominator of a fraction exceeds the numerator by 3 and if the numerator be increased by 7,the fraction is increased by unity,find the fraction
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Answer:
The fraction is 4/7.
Step-by-step explanation:
Let the numerator be x then the denominator is x+3. The fraction is x/(x+3).
If the numerator is increased by 7 ie. x+7, the fraction is increased by unity.
(x+7)/(x+3) = x/(x+3) + 1
(x+7)/(x+3) = (x+x+3)/(x+3)
x+7 = 2x+3
x= 4.
Therefore, the fraction is 4/7.
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