The numerator of a fraction in 4 less than the denominator. If I is added to both its numerator and denominator, it becomes Find the fraction . please answer
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THE QUESTION
The numerator of a fraction is 4 less than the denominator. If 1 is added to both its numerator and denominator, it becomes 1/2
Find the fraction.
The Answer
Let the fraction be
Let the fraction be b
Let the fraction be ba
Let the fraction be ba
Let the fraction be ba
Let the fraction be ba Numerator= denominator-4
Let the fraction be ba Numerator= denominator-4a=b−4⇒b−a=4
Let the fraction be ba Numerator= denominator-4a=b−4⇒b−a=4If 1 added to both numerator and denomator then fraction = 1/2
b+1
b+1a+1
=1/2
2a+2=b+1
2a+2=b+12a−b=−1
2a+2=b+12a−b=−1(2a−b)+(b−a)=4−1
2a+2=b+12a−b=−1(2a−b)+(b−a)=4−1a=3,b=7
2a+2=b+12a−b=−1(2a−b)+(b−a)=4−1a=3,b=7 Fraction= 3/7 (Ans:-)
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