2) The denominator of a fraction is grewer than its numeruor by 12. If sumarmor is decreased by 2 and denominator is increased by 1, the new fraction is equivalent with Find the fraction.
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Step-by-step explanation:
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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