II
EXAMPLE 3 The denominator of a fraction is 4 more than twice the numerator. When
the numerator and denominator are decreased by 6, then the denominator becomes 12 time
numerator. Determine the fraction.
(CBSE 20010)
COTION Let the numerator and denominator of the fraction be x and y respectiva
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Answer:let the fraction be N/D.
By given condition (1), we have
D= 2N-4..........(1)
By given condition (2) , we have
(N-6)/(D-6) =N/12N
=1/12
Or, 12(N-6) =D-6.......(3)
12N-72= (2N-4)-6......using equn (1)
12N-72= -12N+24
(12+12)N= 24+72
24N= 96
Therefore,N = 96/24=4.
Now, D = 2N-4= 2*4-4= 4.
So, required fraction (N/D) is 1/1.
Step-by-step explanation:
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