document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #64775 by tutor_paul(519) $\"\"$ $\"About$

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Let x be the \"number.\" The next consecutive number is then x+1.
\n" ); document.write( "So based on the information given we can write an equation in terms of x and solve it:
\n" ); document.write( " $\"x%2F2%2B%28x%2B1%29%2F9=16\"$
\n" ); document.write( "Let's add the fractions; the LCD is 18:
\n" ); document.write( " $\"9x%2F18%2B%282%2A%28x%2B1%29%29%2F18=16\"$
\n" ); document.write( "Simplify...
\n" ); document.write( " $\"%289x%2B2x%2B2%29%2F18=16\"$
\n" ); document.write( " $\"11x%2B2=288\"$
\n" ); document.write( " $\"11x=286\"$
\n" ); document.write( " $\"x=26\"$
\n" ); document.write( "So your two numbers are 26 and 27.
\n" ); document.write( "Good luck,
\n" ); document.write( "tutor_paul@yahoo.com\r
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