SOLUTION: if the numerator of a certain fraction is increased by 2 and the denominator is increased by 1, the resulting fraction equals 1/2. if, however, the numerator is increased by 1 and
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Question 540520: if the numerator of a certain fraction is increased by 2 and the denominator is increased by 1, the resulting fraction equals 1/2. if, however, the numerator is increased by 1 and the denominator is decreased by 2, the resulting fraction equals 3/5. Find the fraction
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the numerator
Let = the denominator
given:
(1)
(2)
----------------------------
Multiply both sides of (1) by
(1)
(1)
(1)
Multiply both sides of (2) by
(2)
(2)
(2)
--------------------
Multiply both sides of (1) by and
subtract (1) from (2)
(1)
--------------------
(2)
(1)
and, since
(1)
(1)
(1)
(1)
the fraction is
check answer:
(1)
(1)
(1)
OK
(2)
(2)
OK
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