SOLUTION: Find two consecutive integers such that the smaller plus twice the larger is -61.

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Question 912396: Find two consecutive integers such that the smaller plus twice the larger is -61.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Consecutive integers are integers that follow in sequence, each number being 1 more than the previous number, represented by n, n+%2B1, n+%2B+2, n+%2B+3, ..., where n is any integer.
let's two consecutive integers be n and n+%2B1, and let's say %28n+%2B1n%29%3En
given: the smaller n plus twice the larger n%2B1 is -61
so, n%2B2%28n%2B1%29=-61
n%2B2n%2B2=-61

3n=-61-2
n=-63%2F3
highlight%28n=-21%29 ...the smaller integer
and
n%2B1=-21%2B1=-20 =>highlight%28n%2B1=-20%29........ the larger integer