SOLUTION: please help me solve this problem. One half of a certain number added to one third of the next consecutive numberis 22. Find the numbers.

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Question 657224: please help me solve this problem.
One half of a certain number added to one third of the next consecutive numberis 22. Find the numbers.
Answer by kevwill(135) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = the certain number, and x+1 = the next consecutive number.
Then we have:
x%2F2+%2B+%28x%2B1%29%2F3+=+22
%283%2F3%29+%2A+%28x%2F2%29+%2B+%282%2F2%29%2A%28%28x%2B1%29%2F3%29+=+22
3x%2F6+%2B+%282x%2B2%29%2F6+=+22
Multiplying both sides by 6:
3x+%2B+2x+%2B+2+=+132
5x+=+130
x+=+26
Confirming:
%2826%2F2%29+%2B+%2827%2F3%29+=+13+%2B+9+=+22