the denominator of a fraction is one more than double of the numerator if both the numerator and denominator are increased by 4 the fraction becomes 3/5 find the fraction
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Answered by
9
Answer:
5/11
Step-by-step explanation:
Let x be the numerator and y be the denominator.
y = 2x + 1 -----------> equation 1
x+4/y+4 = 3/5 => 5x+20 = 3y + 12
=> 5x - 3y = -8 ------------> equation 2
solve equation 1 and 2.
Multiply equation 1 by 3 and subtract from 2.
6x -3y = -3
5x - 3y = -8
- + +
------------------
x = 5
substitute the value of x in first equation
=> y = 2*5 + 1 = 11
So the fraction is 5/11.
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