document.write( "Question 216081: Please help to solve this problem:
\n" ); document.write( "the larger of 2 numbers is 20 more than the smaller. 4 times the larger is 70 more than 5 times the smaller, find the number.
\n" ); document.write( "thank you
\n" ); document.write( "Rick
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Algebra.Com's Answer #163202 by drj(1380)\"\" \"About 
You can put this solution on YOUR website!
Please help to solve this problem:\r
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\n" ); document.write( "\n" ); document.write( "The larger of 2 numbers is 20 more than the smaller. 4 times the larger is 70 more than 5 times the smaller, find the number.\r
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\n" ); document.write( "\n" ); document.write( "thank you
\n" ); document.write( "Rick\r
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\n" ); document.write( "\n" ); document.write( "Step 1. Let x be the smaller number and let x+20 be the larger number.\r
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\n" ); document.write( "\n" ); document.write( "Step 2. Let 4(x+20) be four times the larger.\r
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\n" ); document.write( "\n" ); document.write( "Step 3. Let 5x be five times the smaller.\r
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\n" ); document.write( "\n" ); document.write( "Step 4. Then \"4%28x%2B20%29=+5x%2B70\" since 4 times the larger is 70 more than 5 times the smaller.\r
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\n" ); document.write( "\n" ); document.write( "Step 5. The following steps will solve the equation in Step 4.\r
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\n" ); document.write( "\n" ); document.write( "\"4%28x%2B20%29=+5x%2B70\"\r
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\n" ); document.write( "\n" ); document.write( "\"4x%2B80=5x%2B70\"\r
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\n" ); document.write( "\n" ); document.write( "Subtract 4x+70 from both sides of the equation to get x-terms on the right side and numbers on the left side of the equation.\r
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\n" ); document.write( "\n" ); document.write( "\"4x%2B80-4x-70=5x%2B70-4x-70\"\r
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\n" ); document.write( "\n" ); document.write( "\"10=x\" and \"x%2B20=30\"\r
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\n" ); document.write( "\n" ); document.write( "Check if \"4%28x%2B20%29=+5x%2B70\" or \"4%2A30=5%2A10%2B70\" which is a true statement.\r
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\n" ); document.write( "\n" ); document.write( "Step 6. ANSWER. The numbers are 10 and 32.\r
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\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful. \r
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\n" ); document.write( "\n" ); document.write( "For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r
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\n" ); document.write( "\n" ); document.write( "And good luck in your studies!\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J
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