# How to do these problems?

#### Puku

1) Given that x = 2a^5 = 3a^2, what is the smallest possible value of x?
2) Suppose 3 distinct numbers are chosen from 1,2,.....,3n with their sum equal to 3n. What is the largest possible product of these numbers?

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#### idontknow

1)Given that x = 2a^5 = 3a^2 , what is the smallest possible value of x?
2)Suppose 3 distinct numbers are chosen from 1,2,.....,3n with their sum equal to 3n.What is the largest possible product of these numbers?
2) $$\displaystyle n^3$$.

#### Puku

Uh, okay but I mentioned in the second problem that the numbers are distinct; are you sure it's n^3? It would be better if you show me the steps how you got n^3.

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#### idontknow

If they are distinct then the maximum is $$\displaystyle (n-1)n(n+1)$$.

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#### Puku

Do you know how to do the first problem?

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