A fraction becomes 1/3 if 1 is subracted from both it's numerator and denominator. If 1 is added to both the numerator and denominator, it becomes 1/2.Find the fractiom
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Answer:
Hello my friend here is the answer
Step-by-step explanation:
Let us assume, x be the numerator and y be the denominator of a fraction.
Therefore, given fraction is x/y
Given:
(x-1) / (y-1) = 1/3
3x - 3 = y - 1
3x - y = 2
y = 3x - 2 -------------------1
Also given:
(x+1) / (y+1) = 1/2
2x + 2 = y + 1
y - 2x = 1 -------------2
Substitute the value of y from equation 1
3x - 2 - 2x = 1
x - 2 = 1
x = 1 + 2
x = 3
Therefore, y = 3x - 2 = 3 * 3 - 2 = 7
y = 7
Therefore, the given fraction is x/y = 3/7
Hope this helps !!!!
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