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Question 350574: which numbers are exactly 4 timesthe sum of their digits
Answer by ewatrrr(24785)   (Show Source):
You can put this solution on YOUR website! Hi,
Note: Let td represent a 2 digit number. Then (10*t + d) is the value of the number.
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Write as You Read
(10*t + d) = 4(t + d)
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simplifying
10*t + d = 4t + 4d
6*t = 3*d
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If t=1, then d=2 for example
12 is exactly 4 times the sum of its digits 4(1+2) = 12
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If t=2, then d=4 for example
24 is exactly 4 times the sum of its digits 4(2 + 4)= 24
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If t=3, then d=6 for example
36 is exactly 4 times the sum of its digits 4(3 + 6)= 36
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If t=4, then d=8 for example
48 is exactly 4 times the sum of its digits 4(4 + 8)= 48
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