the denominator of rational number is greater than its numerator by 5 if numerator is increased by 10 and denominator is decreased by 1 the number obtained is 3/2 find the rational number
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Answer:
Let the numerator of the rational number =p
Then, the denominator of the rational number =p+5
When numerator is increased by 6, the new numerator =p+6
When denominator decreased by 3, the new denominator =p+2
According to the question,
p+2/p+6
=
3/5
⟹3p+18=5p+10
⟹2p=8
∴p=4
Numerator =p=4
Denominator=p+5=4+5=9
Original number =
4/9
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Answer:
answer is 6/11
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