The sum of two consecutive odd integers is sixteen more than #4# times the smaller integer. What are the two integers?
2 Answers
Oct 18, 2017
-7 and -5
Explanation:
Translate the sentence into maths.
sum of two consecutive odd integers means
This sum... is sixteen more than 4 times the smaller integer
So
Now solve for
Oct 18, 2017
The smaller is
Explanation:
Denote the smaller integer by
If
#n+(n+2) = 4n+16#
That is:
#2n+2 = 4n+16#
Subtracting
#-14 = 2n#
Hence
#color(red)(cancel(color(black)(n = -7)))#
If
#n+(n-2) = 4n+16#
That is:
#2n-2 = 4n+16#
Subtracting
#-18 = 2n#
Hence:
#n = -9#