document.write( "Question 779268: This is my word problem. A lady has a number of eggs which when she groups them in groups of 2,3,4,5,6 she always has one left over but when she groups them in 7 she never has any left over. I thought the number was 91 because it works with the equation with all of the numbers except for the number 4. I have tried all kinds of numbers ending in 1 but have had no success. Is this a solvable equation or am i just killing my brain. PLEASE WHAT IS THE ANSWER ???? \n" ); document.write( "
Algebra.Com's Answer #475173 by psbhowmick(878) You can put this solution on YOUR website! L.C.M. of 2,3,4,5,6 is 60.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let the number be (60n+1).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This number has to be divisible by 7.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For n = 5, the number is 301. It is divisible by 7.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So your answer is 301.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Cheers! \n" ); document.write( " |