SOLUTION: The sum of two integers is twenty-two. Eight times the smaller integer is fifty-six more than two times the larger integer. Find the integers.

SOLUTION: The sum of two integers is twenty-two. Eight times the smaller integer is fifty-six more than two times the larger integer. Find the integers.

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Question 399315: The sum of two integers is twenty-two. Eight times the smaller integer is fifty-six more than two times the larger integer. Find the integers.

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let the integers be and
where is the smaller
given:
(1)
(2)
from (1):

Substituting:

and, since

The numbers are 10 and 12

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