document.write( "Question 85432: If one-half of a number is added to one-third of the next consecutive number, the sum is 67. What are the two numbers? \n" ); document.write( "

Algebra.Com's Answer #61628 by scianci(186) $\"\"$ $\"About$

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x = \"a number\"
\n" ); document.write( "x + 1 = next consecutive number\r
\n" ); document.write( "\n" ); document.write( " $\"1%2F2\"$ x + $\"1%2F3\"$ (x + 1) = 67\r
\n" ); document.write( "\n" ); document.write( "Multiply by the LCD which is 6:\r
\n" ); document.write( "\n" ); document.write( "(6) $\"1%2F2\"$ x + (6) $\"1%2F3\"$ (x + 1) = 6(67)\r
\n" ); document.write( "\n" ); document.write( "Simplify:\r
\n" ); document.write( "\n" ); document.write( "3x + 2(x + 1) = 402 [the idea was to eliminate the fractions]\r
\n" ); document.write( "\n" ); document.write( "Distributive property:
\n" ); document.write( "3x + 2x + 2 = 402
\n" ); document.write( "Combine like terms:
\n" ); document.write( "5x + 2 = 402
\n" ); document.write( "Subtract 2 from both sides:
\n" ); document.write( "5x = 400
\n" ); document.write( "Divide both sides by 5:
\n" ); document.write( "x = 80
\n" ); document.write( "x + 1 = 80 + 1 = 81
\n" ); document.write( "The two numbers are 80 and 81 \n" ); document.write( "

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