The sum of denominator and numerator of a
fraction is 3 less than twice the denominator. for each of the numerator and denominator is decreased by 1 the fraction becomes find
the fraction?
Answers
Answer:
let the numerator of the fraction be x and let the denominator be y
Step-by-step explanation:
according to the question-
x+y=2y-3
2y-y=x+3
y=x+3
x-1/y-1=
sorry your question is not complete.
Answer:
The given problem is on linear equations with two variables say x and y.
Let the fraction required be x/y.
Sum of numerator and denominator = x + y
Given x + y is 3 less than twice the denominator → x + y = 2y - 3
x - y +3 = 0 → (1)
Also, if numerator and denominator are decreased by 1 → (x - 1), (y - 1)
The numerator becomes half of the denominator
2x - 2 = y – 1
2x - y =2 -1 =1
2x - y = 1 → (2)
Subtracting (2) and (1) gives x - y + 3 - (2x - y - 1) = 0
x - y + 3 – 2x + y + 1 = 0
-x + 4 =0
x = 4
Substituting x value in (1) gives 4 - y + 3 = 0
y = 7
Therefore x = 4 and y = 7;
The fraction required is 4/7....
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