document.write( "Question 129755: #5.The sum of three numbers is 62. The second number is equal to the
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document.write( " first number diminished by 4. The third number is four times the first.
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document.write( " What are the numbers?
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Algebra.Com's Answer #94731 by bucky(2189)![]() ![]() ![]() You can put this solution on YOUR website! Let x represent the first number. \n" ); document.write( ". \n" ); document.write( "The second number equals the first number diminished by 4. So the second number is x - 4. \n" ); document.write( ". \n" ); document.write( "The third number is 4 times the first number. So the third number is 4x. \n" ); document.write( ". \n" ); document.write( "The sum of the three numbers is 62. So we can write the equation: \n" ); document.write( ". \n" ); document.write( "x + x - 4 + 4x = 62 \n" ); document.write( ". \n" ); document.write( "Combine the terms in x on the left side (x + x + 4x = 6x) and the equation becomes: \n" ); document.write( ". \n" ); document.write( "6x - 4 = 62 \n" ); document.write( ". \n" ); document.write( "Get rid of the -4 on the left side by adding 4 to both sides and you have: \n" ); document.write( ". \n" ); document.write( "6x = 66 \n" ); document.write( ". \n" ); document.write( "Solve for x by dividing both sides by 6 and you have: \n" ); document.write( ". \n" ); document.write( "x = 66/6 = 11 \n" ); document.write( ". \n" ); document.write( "So the first number is 11. The second number is 11 minus 4 and that is 7. An the third number \n" ); document.write( "is the first number (11) times 4 which is 44. \n" ); document.write( ". \n" ); document.write( "The three numbers are 11, 7, and 44. If you add them up you will find that their total is 62. \n" ); document.write( ". \n" ); document.write( "Hope this helps you to understand the problem. \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( " |