The denominator of a fraction is 3 more than the numerator.If 2 is added to the numerator and 5 is the denominator,the fraction becomes 1/2. Find the fraction
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Answer:
Step-by-step explanation:
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Answer:4/7
Step-by-step explanation:
Let the required fraction be (N/D), where N&D denotes numerator and denominator respectively.
By question,
D=(N+3)......(1)
(N+2)/(D+5)=1/2........(2)
From (2), 2(N+2)=1(D+5)
Or, 2N+4=D+5
Or, 2N-D-1=0
Or, 2N-(N+3)-1=0. (Using equation 1)
Or, 2N-N-3-1=0
Or, N-4=0
Therefore N=4
Now using this value of N in (1) we get
D=(N+3)=(4+3)=7
Therefore required fraction (N/D) is 4/7
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