SOLUTION: The sum of two positive integers is 108. One integer is three times as great as the other. Find the integers

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Question 177115This question is from textbook Elementary and Intermediate Algebra Concepts and Applications
: The sum of two positive integers is 108. One integer is three times as great as the other. Find the integers This question is from textbook Elementary and Intermediate Algebra Concepts and Applications

Answer by nerdybill(7384) About Me  (Show Source):
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The sum of two positive integers is 108. One integer is three times as great as the other. Find the integers
.
Let x = smaller integer
and y = larger integer
.
x+y = 108 (equation 1)
y = 3x (equation 2)
.
substitute the value of y from equation 2 into equation 1 and solve for x:
x+y = 108
x+3x = 108
4x = 108
x = 27
.
substitute the above into equation 2 and solve for y:
y = 3x
y = 3(27)
y = 81
.
The two integers are 27 and 81