3.1 the denominator of a rational number is greater than its numerator by 4. if the numerator is increased by 7 and the denominator is decreased by 2 the new number became 6/5. find the The original national number.
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Answer:
the numerator = x
So, denominator=-x+4
Number=
x+4
x
According to question,
x+4−1
x+11
=
3
7
⟹3(x+11)=7(x+3)
⟹4x=12
⟹x=3
Hence, original number =
7
3
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