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?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> 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?      Log On


   

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) About Me  (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:
x%2F2%2B%28x%2B1%29%2F9=16
Let's add the fractions; the LCD is 18:
9x%2F18%2B%282%2A%28x%2B1%29%29%2F18=16
Simplify...
%289x%2B2x%2B2%29%2F18=16
11x%2B2=288
11x=286
x=26
So your two numbers are 26 and 27.
Good luck,
tutor_paul@yahoo.com