SOLUTION: The difference of two integers is 18.One integer is one-third of the other integer. What are the integers ?

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Question 651806: The difference of two integers is 18.One integer is one-third of the other integer. What are the integers ?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let integers be x and y
given:
the difference of two integers is 18
x-y=18.....1
one integer is one-third of the other integer,
y=%281%2F3%29x....2
solve this system:
x-y=18.....1
y=%281%2F3%29x....2
__________________
x-y=18.....1..plug in y from 2
x-%281%2F3%29x=18....solve for x
x-x%2F3=18
%283x-x%29%2F3=18
2x%2F3=18
2x=18%2A3
2x=54
x=54%2F2
highlight%28x=27%29
now find y
y=%281%2F3%2927....2
highlight%28y=9%29