If 1 is added to the denominator of a fraction, the fraction becomes 21. If 1 is added to the numerator of the fraction. the fraction becomes 1. Then the fraction is
A
43
B
54
C
21
D
32
Medium
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Solution
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Correct option is D)
Let the numerator be n and the denominator be d. Then d+2n=21 ........... (1) or 2n=d+1 dn+1=1 or n+1=d ............(2) Substituting for d in equation (1), we get 2n=n+1+1 or 2n−n=2 or n=2 ∴d=n+1=2+1=3 Hence, dn=32