document.write( "Question 215517: the number is between 10 and 100.
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document.write( "the number is an even number less than 50.
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document.write( "the sum of the digits in the ones place and the tens place is the double of 5.
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document.write( "the tens place digit is 2 less than the one place digit.
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document.write( "what is the number?
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Algebra.Com's Answer #162843 by drj(1380)![]() ![]() You can put this solution on YOUR website! The number is between 10 and 100. \n" ); document.write( "The number is an even number less than 50. \n" ); document.write( "The sum of the digits in the ones place and the tens place is the double of 5. \n" ); document.write( "The tens place digit is 2 less than the one place digit. \n" ); document.write( "What is the number?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 1. Let be x be the digit of the ones place and let y be the digit of the tens place.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 2. Let x+y=2*5=10 since sum of the digits in the ones place and the tens place is the double of 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 3. Let y=x-2 since the tens place digit is 2 less than the one place digit\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 4. We now have a system of linear equations given as \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x+y=10 \n" ); document.write( "-x+y=-2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 5. Add these two equations to get 2y=8 or y=4. Then x=10-4=6. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check...46 satisfies the number between 10 and 100 and the number is an even number less than 50.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 6. ANSWER: The number is 46.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Good luck in your studies!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Respectfully, \n" ); document.write( "Dr J\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |