SOLUTION: The difference between two numbers is 19. The sum of seven times the smaller number and two times the larger number is 254. Find the two numbers.

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Question 306819: The difference between two numbers is 19. The sum of seven times the smaller number and two times the larger number is 254. Find the two numbers.
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
x and x-19 are the 2 numbers
7%28x-19%29%2B2x=254distribute
7x-133%2B2x=254add like terms and add 133 to both sides
9x=387divide by 9
x=43
x-19=24
numbers are:43,24