SOLUTION: Two numbers have a sum = 67. The larger number is "one less than three times the smaller number. Find the two numbers.

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Question 934477: Two numbers have a sum = 67. The larger number is "one less than three times the smaller number. Find the two numbers.
Answer by BigToosie(32) About Me  (Show Source):
You can put this solution on YOUR website!
x + y = 67
x = 3y - 1
substitute second equation into first equation:
3y - 1 + y = 67
combine like terms:
4y = 68
divide both sides by 4:
y = 68/4 = 17
using second equation:
x = 3(17) - 1 = 50
check using first equation:
50 + 17 = 67 checks
The numbers are 50 and 17.