The denominater of a fraction is greater than its numerator by 12. If the numerator is decreased by 2 and the denominater is increased by7,the new fraction is equivalent with 1/2 . Find the fraction
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Let’s assume the numerator of the fraction to be x.
So,
Denominator = x + 12
The factor = x/(x + 12)
Now, from the given information we have
x-2/x+12+7=1/2
On cross multiplying,
2 (x – 2) = (x + 12 + 7)
2x – 4 = x + 19
2x – x = 19 + 4
x = 23
Hence, the numerator of the fraction is 23 and the denominator of the fraction is (23 + 12) = 35.
Therefore, the fraction is 23/35.
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