The denominator of a fraction is greater than its numerator by 12. If the numerator is increased by 15 and the denominator decreased by 5, then the number obtained is 4/3. Find the fraction.
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Answer:
Let the numerator of the fraction =x
Then denominator=12+x
So, fraction will be
12+xx
New fraction:
numerator =x-2
denominator=12+x+7
=19+x
So, fraction will be
19+xx−2
19+xx−2=212(x−2)=19+x2x−x=19+4x=23
So, old fraction is
12+2323=3523
and new fraction is,
19+2323−2=4221=21
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