SOLUTION: What is the largest possible value of 'm' in 653m2 such that it is divisible by 3?

Question 1196732: What is the largest possible value of 'm' in 653m2 such that it is divisible by 3?
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
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What is the largest possible value of 'm' in 653m2 such that it is divisible by 3?
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The key idea is that the sum of the digits must be divisible by 3.

Using this idea, can you do the rest on your own ?

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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.
but how can I choose 2,5 or 8? which one?

My response :   Hello, you made great progress, and I am glad to see it ( ! )

Now strain your mind a bit more and choose   M = 8 - - - it will provide you the maximum possible value.

Isn't it obvious ?

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