SOLUTION: please help me solve this, its a word problem so I don't have an exact equation quite yet. The denominator of a fraction is four more than three times the numerator. If both numera

Question 1100798: please help me solve this, its a word problem so I don't have an exact equation quite yet. The denominator of a fraction is four more than three times the numerator. If both numerator and denominator are decreased by seven, the simplified result is 2/15. Find the original fraction. (Do NOT simplify.)

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = original numerator
Let = original denominator
----------------------------------
given:
(1)
(2)
---------------------------------
(1)
Multiply both sides of (2) by
(2)
(2)
(2)
-----------------------------
Multiply both sides of (1) by
and add the equations
(2)
(1)
------------------------

and
(1)
(1)
(1)
------------------------
The original fraction is 11/37
-----------------------------
check:
(2)
(2)
(2)
(2)
OK

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