Asked by Izzy

Find a three digit number so that when the digita of the number Are added together the total is one fifth of the product of the digits

Answers

Answered by Steve
if the digits are a,b,c then

5(a+b+c) = abc
c = 5(a+b)/(ab-5)

so, ab must be greater than 5,

ab cannot be 6, since then a+b > 5
if ab=7, then 5(8)/2 = 20 > 10
if ab=8, then c = 5(6)/3 = 10 too big
if ab=9, then c=5(6)/4 = not integer
if ab=10, then c=5(7)/5 = 7

257: 2+5+7 = 14 = 2*5*7/5
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