document.write( "Question 535504: One number exceeds a number by 26. The sum of the numbers is 64. What are the numbers? \n" ); document.write( "
Algebra.Com's Answer #351922 by Iluvidina(15)![]() ![]() You can put this solution on YOUR website! 45, 19 \n" ); document.write( "The equations I set up were \n" ); document.write( "N-26=y and n+y=64 \n" ); document.write( "the first equation, n-26=y, is the statement \"one number exceeds a number by 26\" \n" ); document.write( "I used n and y for the 2 numbers. One number (n) exceeds a number (y) by 26 \n" ); document.write( "So, one of the numbers is 26 more than the other number, being that the bigger number subtracted by 26 equals the smaller number \n" ); document.write( "Then, n+y=64, is the statement \"the sum of the numbers is 64\" \n" ); document.write( "Then, I used the equation n-26=y to find what n equaled \n" ); document.write( "I added both sides by 26 \n" ); document.write( "N=y+26 \n" ); document.write( "then I substituted y+26 in for n in the equation n+y=64 \n" ); document.write( "(y+26)+y=64 \n" ); document.write( "then I added the two y's together \n" ); document.write( "26+2y=64 \n" ); document.write( "then I subtracted 26 from both sides \n" ); document.write( "2y=38 \n" ); document.write( "then I divided both sides by 2 \n" ); document.write( "Y=19 \n" ); document.write( "then, in the other equation, I substituted 19 for y \n" ); document.write( "N-26=19 \n" ); document.write( "i added both sides by 26 \n" ); document.write( "N=45 \n" ); document.write( " |