Hi! a, b, c!

Level pending

a , b , c a,b,c are distinct whole numbers and 1 a , b , c 9 1\leq a,b,c\leq9 .

Find the maximum value of a + b + c a × b × c \frac{a+b+c}{a\times b\times c} .


The answer is 1.

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1 solution

George Antonios
Dec 20, 2013

1,2 &3 are the only numbers which multiply and add with the same value. While other combinations gives bigger denomenator thus a valur less than 1.

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