the denominator of a fraction is 1 more than its numerator. if 1 is subtracted from both numerator and denominator, the fraction becomes 1/2. find the fraction. Please help me out guys
Answers
Answered by
5
Answer:
Let the numerator be x and the denominator be y
So, y=1+x (from the question) - eqn 1
Now, subtracting 1 from both numerator and denominator
(x-1)/(y-1)=1/2
By cross multiplication
2x-2=y-1
2x-y=2-1
2x-y=1
Now substituting the value of y from the first eqn
2x-(1+x)=1
2x-1-x=1
2x-x=2
x=2
Again substituting the value of x in eqn 1
y=x+1
y= 2+1
y=3
Therefore the fraction is 2/3
Hope it helps
pranjal247:
can u show the answer using only one variable?
Answered by
3
Answer:
Step-by-step explanation:
According to the question,
Let us take x be the numerator and x+1 be the denominator,
=>x-1/x=1/2
=>2x-2=x
=>2x-x=2
=>x=2
The numerator is 2
The denominator is 3
=>Therefore the fraction is 2/3.
Hope it helps you....
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