SOLUTION: If m is divisible by 5, what is the largest number that must be evenly divisible into 5m+25?

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Question 606628: If m is divisible by 5, what is the largest number that must be evenly divisible into 5m+25?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If m is divisible by 5, what is the largest number that must be evenly divisible into 5m+25?
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If m is divisible by 5, m = 5k where k is an integer NOT divisible
by 5.
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So 5m+25 = 5(5k)+25 = 25(k+1)
Therefore 5m+25 is divisible by 25
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But that is not the end of the story because
k+1 may also be divisble by 5.
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Cheers,
Stan H.