document.write( "Question 100974This question is from textbook Intermediate Algebra
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document.write( ": One number is six less than a first number. A third number is twice the first number. If the sum of the three numbers is 306, find the numbers. \n" );
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Algebra.Com's Answer #73495 by doukungfoo(195) You can put this solution on YOUR website! Lets call the first number x \n" ); document.write( "Now define the other numbers in terms of x \n" ); document.write( "Given: one number is six less than a first number \n" ); document.write( "second number = x-6 \n" ); document.write( "Given: a third number is twice the first number \n" ); document.write( "third number = 2x \n" ); document.write( "Given: the sum of the three numbers is 306 \n" ); document.write( "Now we can write an equation to solve for x (first number) \n" ); document.write( "(first#)+(second#)+(third#) = 306 \n" ); document.write( "(x) + (x-6) + (2x) = 306 \n" ); document.write( "x + x - 6 + 2x = 306 \n" ); document.write( "4x - 6 = 306 \n" ); document.write( "4x = 312 \n" ); document.write( "x = 78 \n" ); document.write( "Answer: first number is 78 \n" ); document.write( "now we can find the other numbers \n" ); document.write( "second number = x - 6 \n" ); document.write( "second number = 78 - 6 \n" ); document.write( "second number = 72 \n" ); document.write( "Answer: second number is 72 \n" ); document.write( "third number = 2x \n" ); document.write( "third number = 2(78) \n" ); document.write( "third number = 156 \n" ); document.write( "Answer: third number is 156 \n" ); document.write( "Check answers: \n" ); document.write( "(first#)+(second#)+(third#) = 306 \n" ); document.write( "78 + 72 + 156 = 306 \n" ); document.write( "306 =306\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |