document.write( "Question 1196732: What is the largest possible value of 'm' in 653m2 such that it is divisible by 3? \n" ); document.write( "
Algebra.Com's Answer #829704 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "What is the largest possible value of 'm' in 653m2 such that it is divisible by 3? \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The key idea is that the sum of the digits must be divisible by 3.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Using this idea, can you do the rest on your own ?\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-----------------\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Comment from student : Hello Madam, Yes, I have tried this: 6+5+3+M+2=16+M So M can be 2,5,8... that can be divisible by 3. \n" ); document.write( "but how can I choose 2,5 or 8? which one?\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "My response : Hello, you made great progress, and I am glad to see it ( ! )\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now strain your mind a bit more and choose M = 8 - - - it will provide you the maximum possible value.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Isn't it obvious ?\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |