document.write( "Question 163040: The greater of two numbers is 8 more than 5 times the smaller. Their sum is 68. Find the numbers
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Algebra.Com's Answer #120151 by joecbaseball(37)![]() ![]() ![]() You can put this solution on YOUR website! Let the bigger number be x, and let the smaller number be y. \n" ); document.write( "Then x = 8 bigger than 5 times the smaller, so x = 5y + 8, and… \n" ); document.write( "x + y = 68 \n" ); document.write( "Substitute the value of x (5y + 8) into the x value of the second equation, and you get… \n" ); document.write( "(5y + 8) + y = 68, which gives you 6y + 8 = 68. \n" ); document.write( "Subtract 8 from each side to get 6y = 60, and divide both sides by 6 to get y = 10. \n" ); document.write( "Now substitute this value of y into either equation, and solve for x. \n" ); document.write( "This will give you an x value of 58, and those are your answers; \n" ); document.write( "x= 58 and y = 10.\r \n" ); document.write( "\n" ); document.write( "Good luck \n" ); document.write( " \n" ); document.write( " |