SOLUTION: If one-half of a number is added to one-ninth of the next consecutive number, the sum is 16. What are the two numbers?

Question 89098: If one-half of a number is added to one-ninth of the next consecutive number, the sum is 16. What are the two numbers?
Answer by tutor_paul(519) (Show Source): You can put this solution on YOUR website!
Let x be the "number." The next consecutive number is then x+1.
So based on the information given we can write an equation in terms of x and solve it:

Let's add the fractions; the LCD is 18:

Simplify...

So your two numbers are 26 and 27.
Good luck,
tutor_paul@yahoo.com

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