the denominator of a rational number is greater than its numerator by 7. If the numerator is increased by 17 and denominator is decreased by 6, thr bew number becomes 2. find the original number
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Step-by-step explanation:
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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