SOLUTION: Find the larger of two consecutive integers whose sum is 4 less than three times the smaller integer.

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Question 880972: Find the larger of two consecutive integers whose sum is 4 less than three times the smaller integer.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
n= the first (smaller) integer, so
n%2B1= the second (larger) integer;
n%2B%28n%2B1%29=2n%2B1= the sum of the two consecutive integers;
3n= three times the smaller integer;
3n-4= 4 less than three times the smaller integer.
The problem says that
2n%2B1=3n-4
and that is the equation that we need to solve.
2n%2B1=3n-4
2n%2B1%2B4=3n
2n%2B5=3n
5=3n-2n
5=n
So n%2B1=5%2B1=highlight%286%29 .
The two consecutive integers are 5 and 6, and the larger one is highlight%286%29 .