document.write( "Question 943832: What number can be inserted in the blank space so that 59_172 is divisible by 6 \n" ); document.write( "
Algebra.Com's Answer #575447 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the first 2 digits can't change. \n" ); document.write( "59/6 = 9 with a remainder of 5. \n" ); document.write( "the problem reduces to 6 dividing evenly into 5_172 \n" ); document.write( "the number can't be 4 because then 6 would divide evenly into 54 and 6 doesn't divide evenly into 172. \n" ); document.write( "since the number has to be the remainder of a division of 6 into 5_, then the number can't be greater than 5. \n" ); document.write( "that leave 1,2,3 and 5 as the possible numbers. \n" ); document.write( "it remains to test each one to see which one will allow the division to complete evenly. \n" ); document.write( "6 doesn't divide evenly into 51172 \n" ); document.write( "nor 52172 \n" ); document.write( "yes 53172 \n" ); document.write( "the number has to be 3 \n" ); document.write( "your number becomes 593172 \n" ); document.write( "divide that by 6 and you get 98862 \n" ); document.write( "the missing number has to be 3. \n" ); document.write( " \n" ); document.write( " |