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.

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) (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:

Multiplying both sides by 6:

Confirming:

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