SOLUTION: The sum of two numbers is 18.The larger number is three times the smaller.

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Question 927136: The sum of two numbers is 18.The larger number is three times the smaller.
Answer by samdom4peace(3) About Me  (Show Source):
You can put this solution on YOUR website!
Let the two numbers be x and y
Let the smaller number = x
Let the larger number = y
Sum of two numbers = 18
x + y = 18 ...eqn. (1)
The larger number is three times the smaller.
y = 3x ... eqn. (2)
Subst. 3x for y in eqn. (1)
x + 3x = 18
4x = 18
x = 4.5
Subst. 4.5 for x in eqn. (2)
y = 3(4.5)
y = 13.5
(x, y) = (4.5, 13.5)