The denominator of a rational number greater than its numerator by 7 if the numerater is increased by 6 and the denominator is decreased by 5, the new ratonotal number obtained is 3/2 .Find the orginal rational number ?
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Let the fraction be
q
p
So q=p+7
q−6
p+17
=2
⇒
p+7−6
p+17
=2
⇒
p+1
p+17
=2
⇒p+17=2p+2
⇒p=15
q=15+7=22
So
q
p
=
22
15
.
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