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Re: If x, y and z are positive integers such that x+y+z=7, what is the gre [#permalink]
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Ravixxx wrote:
If x, y and z are positive integers such that \(x+y+z=7\), what is the greatest possible value of \(x+y^{z}\)?

(A) 28
(B) 35
(C) 42
(D) 49
(E) 56


We would like to maximize the exponent portion as they grow faster. So let's start with x = 1 to have y + z = 6, then \(y^z\) can be selected from \(2^4, 3^3, 4^2\) and \(3^3\) would have the greatest value. Therefore \(1 + 3^3 = 28\) is the maximum value. We want also see under the condition of \(y + z = 6\), is it usually best to split y and z for the maximum value.

Ans: A
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Re: If x, y and z are positive integers such that x+y+z=7, what is the gre [#permalink]
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Re: If x, y and z are positive integers such that x+y+z=7, what is the gre [#permalink]
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