SOLUTION: Translate into an equation and solve. Let n represent the smaller number. The sum of two numbers is nineteen. One less than three times the smaller is equal to the larger.

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Question 348748: Translate into an equation and solve. Let n represent the smaller number.
The sum of two numbers is nineteen. One less than three times the smaller is equal to the larger.

Found 2 solutions by ewatrrr, NaturalBornNerd:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
*Note: Write as you Read
n represents smaller number
(3n-1) the larger
.
n + (3n-1) = 19
.
simplify and solve for n
4n - 1 = 19
4n = 20
n = 5
(3n-1) = 14 the larger number
.
check your answer:
5 + 14 = 19

Answer by NaturalBornNerd(5) About Me  (Show Source):
You can put this solution on YOUR website!
n + 3n -1 = 19
4n - 1 = 19
4n -1 + 1 = 19 + 1
4n = 20
4n/4 = 20/4
n = 5