document.write( "Question 110858: One positive number is 5 times another number. The difference between the two numbers is 124, find the numbers. \n" ); document.write( "
Algebra.Com's Answer #80855 by bucky(2189)![]() ![]() ![]() You can put this solution on YOUR website! Let one of the numbers be x. You are told that the other number is 5 times x or 5x. The \n" ); document.write( "difference between the numbers is 5x - x which equals 4x. But you are also told that this \n" ); document.write( "difference between the two numbers is 124. So we have two values for the difference in \n" ); document.write( "the numbers and in equation form this can be written as: \n" ); document.write( ". \n" ); document.write( "4x = 124 \n" ); document.write( ". \n" ); document.write( "Solve for x by dividing both sides by 4 (which is the multiplier of the x) to get: \n" ); document.write( ". \n" ); document.write( "x = 124/4 = 31 \n" ); document.write( ". \n" ); document.write( "You now know that the smaller of the two numbers is 31. Five times this smaller number gives \n" ); document.write( "you the larger number. Therefore, the larger number is 5 * 31 = 155. \n" ); document.write( ". \n" ); document.write( "You can check these two numbers by subtracting them and finding that the difference is: \n" ); document.write( ". \n" ); document.write( "155 - 31 = 124 \n" ); document.write( ". \n" ); document.write( "This difference in the numbers agrees with the value provided in the problem ... so our answer \n" ); document.write( "is correct ... the two numbers are 31 and 155. \n" ); document.write( ". \n" ); document.write( "Hope this helps you to understand the problem and how to work toward getting the answer. \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( " |