document.write( "Question 81729: The sum of two numbers is 114. The second is 6 more than 5 times the first. What are the two numbers?\r
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Algebra.Com's Answer #58555 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Let the two numbers be a and b. \n" ); document.write( "a+b = 114 The sum of the two numbers is 114. \n" ); document.write( "b = 5a+6 The second number is 6 more than 5 times the first number. Substitute this for b in the first equation and solve for a. \n" ); document.write( "a + (5a+6) = 114 Simplify. \n" ); document.write( "6a+6 = 114 Subtract 6 from both sides. \n" ); document.write( "6a = 108 Divide both sides by 6. \n" ); document.write( "a = 18 \n" ); document.write( "b = 5(18)+6 \n" ); document.write( "b = 96\r \n" ); document.write( "\n" ); document.write( "One number is 18 \n" ); document.write( "The other number is 96 \n" ); document.write( " |