SOLUTION: The denominator of a certain fraction exceeds twice the numerator by 4 . If the numerator is increased by 14 and the denominator is decreased by 9, the value of the resulting frac

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The denominator of a certain fraction exceeds twice the numerator by 4 . If the numerator is increased by 14 and the denominator is decreased by 9, the value of the resulting frac      Log On


   

Question 1187415: The denominator of a certain fraction exceeds twice the numerator by 4 . If the numerator is increased by 14 and the denominator is decreased by 9, the value of the resulting fraction is the multiplicative inverse of 3/7 . Find the fraction.
Two boys paint a barn. Pepper can paint alone in days, Yogi in days. They start to paint it together but after days, Yogi gets bored and Pepper finishes alone. How long does it take him to finish?


Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52879) About Me  (Show Source):
You can put this solution on YOUR website!
.

Your second  " problem "  is  DEFECTIVE.

Look at it as it arrived to the forum.


NEVER  pack more than one problem per post.



Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
The described Fraction problem

n, the numerator,
2n+4, the denominator

%28n%2B14%29%2F%282n%2B4-9%29=7%2F3
-
%28n%2B14%29%2F%282n-5%29=7%2F3
3%28n%2B14%29=7%282n-5%29
3n%2B42=14n-35
11n=42%2B35
11n=77
highlight_green%28n=7%29
and 2n%2B4=highlight_green%2818%29

The fraction is highlight%287%2F18%29.