document.write( "Question 935505: The sum of two numbers is 100. If one number is four times the other find the numbers? \n" ); document.write( "
Algebra.Com's Answer #568733 by Horlaye(27)![]() ![]() You can put this solution on YOUR website! Let the two numbers be a and b respectively \n" ); document.write( " From the 1st sentence \n" ); document.write( " a+b = 100.......(1) \n" ); document.write( " From the 2nd sentence \n" ); document.write( " a = 4(b) \n" ); document.write( " a = 4b \n" ); document.write( " a-4b = 0...........(2) \n" ); document.write( " Eliminate equation (2) from equation (1) \n" ); document.write( " 5b = 100 \n" ); document.write( " b = 100/5 \n" ); document.write( " b = 20 \n" ); document.write( " Substitute b = 20 in equation (2) \n" ); document.write( " a-4b = 0 \n" ); document.write( " a-4(20) = 0 \n" ); document.write( " a-80 = 0 \n" ); document.write( " a = 80 \n" ); document.write( "Since a and b represented the two numbers \n" ); document.write( "Therefore the numbers are 80 and 20 \n" ); document.write( " |