document.write( "Question 950405: The sum of two numbers is 54, and five times the larger added to twice the smaller equals 225. Find the number
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #580341 by macston(5194)![]() ![]() You can put this solution on YOUR website! a and b are the numbers \n" ); document.write( "a+b=54 \n" ); document.write( "a=54-b \n" ); document.write( "5a+2b=225 Substitute for a \n" ); document.write( "5(54-b)+2b=225 \n" ); document.write( "270-5b+2b=225 Subtract 225 from each side. \n" ); document.write( "45-3b=0 Subtract 3b from each side. \n" ); document.write( "45=3b Divide each side by 3 \n" ); document.write( "15=b One of the numbers is 15 \n" ); document.write( "a=54-b=54-15=39 The other number is 39 \n" ); document.write( "ANSWER: The numbers are 15 and 39 \n" ); document.write( "CHECK \n" ); document.write( "5a+2b=225 \n" ); document.write( "5(39)+2(15)=225 \n" ); document.write( "195+30=225 \n" ); document.write( "225=225 \n" ); document.write( " \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |