SOLUTION: The sum of two consecutive numbers is 77.The difference of half of the smaller number and one-thirdof the larger number is 6.If x is the smaller number and y is the larger number,w

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Question 1016277: The sum of two consecutive numbers is 77.The difference of half of the smaller number and one-thirdof the larger number is 6.If x is the smaller number and y is the larger number,which two equations represent the sum and difference of the numbers
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39628) (Show Source):
You can put this solution on YOUR website!
n and n+1 are these two numbers.

should be all you need.

so the other number must be .

There was given an additiona description. Continuing to use n and n+1 because
these must still be the same numbers as described, n for x and n+1 for y.

,
or,
is expected to also fit the description.
THis is BAD because it shows n=-34 which does not agree with the first part of the already
solved part of the description. Some of your description is wrong.

Answer by MathTherapy(10556) (Show Source):
You can put this solution on YOUR website!

The sum of two consecutive numbers is 77.The difference of half of the smaller number and one-thirdof the larger number is 6.If x is the smaller number and y is the larger number,which two equations represent the sum and difference of the numbers

With x being the smaller number, and y being the larger. we get:

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