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

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: The sum of two integers is thirty-two. Eight times the smaller integer is twenty-six more than two times the larger integer. Find the integers      Log On


   



Question 909519: The sum of two integers is thirty-two. Eight times the smaller integer is twenty-six more than two times the larger integer. Find the integers
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
x = smaller integer, y = larger integer

x + y = 32
8x = 26 + 2y

Substitute x = 32 - y into the second equation.
8(32 - y) = 26 + 2y
256 - 8y = 26 + 2y
10y = 230
y = 23

The integers are x = 9 and y = 23.