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Question
The sum of the numerator and the denominator of a fraction is 12. If the denominator is increased by 3, the fraction becomes 1/2. Find the fractions.
The sum of the numerator and the denominator of a fraction is 12. If the denominator is increased by 3, the fraction becomes 1/2. Find the fractions.
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Solution
Let numerator = x and denominator = y
From the given conditions, we have:
x + y = 12 ... (1)
x/y+3 = 1/2
2x - y = 3 ... (2)
Adding (1) and (2), we get,
3x = 15 or x = 5
So, y = 12 - 5 = 7
Thus, the fraction is 5/7.
Let numerator = x and denominator = y
From the given conditions, we have:
x + y = 12 ... (1)
x/y+3 = 1/2
2x - y = 3 ... (2)
Adding (1) and (2), we get,
3x = 15 or x = 5
So, y = 12 - 5 = 7
Thus, the fraction is 5/7.
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