Question

the numerator of a given fraction is 4 less than its denominator 3 subtracted from numerator 5 is added to denominator then the fraction be 1 by 4 find the given fraction

Answer 1

LET THE DENOMINATOR BE X
 THEN NUMERATOR = X - 4
ACCORDING TO THE QUESTION,
 X - 4 -3      1
----------- = ----
  X + 5        4

X - 7     1
------ = ----
X + 5    4

4 (X-7) = 1 ( X+5)
4X -28 = X +5
4X- X = 5 + 28
3X = 33
∴ X = 33/3 = 11
⇒ORIGINAL FRACTION = 11 - 4
                                            --------
                                               11
                                          = 7/11
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