document.write( "Question 1145211: A number, one fifth of that number, and one fourth of that number are added. The result is 58. What is the original number? \n" ); document.write( "
Algebra.Com's Answer #766420 by greenestamps(13203)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The sum is a whole number, so 1/5 of the number and 1/4 of the number are almost certain to be both whole numbers. \n" ); document.write( "That means the number is divisible by both 4 and 5; and that means it is divisible by 4*5=20. \n" ); document.write( "Then since the sum is 58, the number is probably the largest multiple of 20 less than 58. \n" ); document.write( "So try 40 as the number: \n" ); document.write( "40+40/5+40/4 = 40+8+10 = 58 \n" ); document.write( " |