The sum of two consecutive odd integers is sixteen more than 44 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