SOLUTION: The sum of two positive integers is 29. If the smaller integer is x and the larger is 11 more than twice the smaller , find the integer.

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Question 954627: The sum of two positive integers is 29. If the smaller integer is x and the larger is 11 more than twice the smaller , find the integer.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
x and y are integers
x+y=29
x=29-y
2x=y-11 substitute for x.
2(29-y)=y-11
58-2y=y-11 Add 2y+11 to each side.
69=3y Divide each side by 3.
23=y ANSWER 1:The larger integer is 23.
x=29-y=29-23=6 ANSWER 2: The smaller integer is 6.
CHECK:
2x=y-11
2(6)=23-11
12=12