document.write( "Question 159296: The average of two numbers is 7. Find the numbers if three times one of the numbers is one half the other number.\r
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\n" ); document.write( "\n" ); document.write( "I can not figure ths out. I can not get it written into two equations.
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Algebra.Com's Answer #117444 by jojo14344(1513)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Let \"x%5B1%5D\"-----> 1st number
\n" ); document.write( "\"x%5B2%5D\"------------> 2nd number
\n" ); document.write( "1st condition, average is 7:
\n" ); document.write( "\"%28x%5B1%5D%2Bx%5B2%5D%29%2F2=7\"
\n" ); document.write( "2nd condition: 3 times one number equals half the other,
\n" ); document.write( "\"3x%5B1%5D=%281%2F2%29%28x%5B2%5D%29\"
\n" ); document.write( "In 2nd condition we get by cross multiplying:
\n" ); document.write( "\"%282%29%283%29x%5B1%5D=x%5B2%5D\"
\n" ); document.write( "\"6x%5B1%5D=x%5B2%5D\" ------> condition 3, and substitute in condition 1:
\n" ); document.write( "\"%28x%5B1%5D%2Bhighlight%286x%5B1%5D%29%29%2F2=7\"
\n" ); document.write( "\"7x%5B1%5D=14\" ----> \"cross%287%29x%2Fcross%287%29=cross%2814%292%2Fcross%287%29\"
\n" ); document.write( "\"x%5B1%5D=2\" , 1st number
\n" ); document.write( "Via condition3:
\n" ); document.write( "\"x%5B2%5D=6%2A2=12\", 2nd number
\n" ); document.write( "Check via condition 1:
\n" ); document.write( "\"%282%2B12%29%2F2=7\"
\n" ); document.write( "\"14%2F2=7\"
\n" ); document.write( "\"7=7\"
\n" ); document.write( "Check via condition 2:
\n" ); document.write( "\"3%2A2=1%2F2%2812%29\"
\n" ); document.write( "\"6=6\"
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo \n" ); document.write( "
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