Form the pair of linear equations and find the solutoins (if they
exist) by the elemination method :
If we add 1 to the numerator and subtract 1 from the
denominator, a fraction reduces to 1. It becomes 1/2 if we only add 1 to the denominator. What is the fraction ?
Answers
Answer:
Step-by-step explanation:
Let the numerator be x.
Let the denominator be y.
The fraction is
According to the Question:-
=> x+1 = y-1 (cross multiplication)
=> x-y +2=0 (re-arranging the terms) -------------(1)
=> 2x = y+1 (cross multiplication)
=> 2x-y-1=0 (re-arranging the terms)--------------(2)
Subratricting (1) from (2)
x-3=0
=> x=3
Substituting x=3 in (1)
3-y+2=0
5-y=0
y=5
Hence the fraction is
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Hope it helps !
Thanks
Answer:
Let x be the numerator of the fraction and y be the denominator of the fraction. Then the fraction is .
Case I : When 1 is added to the numerator and 1 is subtracted from the denominator.
------------------------ (i)
Case II : When 1 is added to the denominator
Substituting the value of x from (i),
Substituting value of y in (i),
Therefore the fraction is