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If m and n are positive integers and m^2 + n^2 = 40, what is the value

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Bunuel
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If m and n are positive integers and m^2 + n^2 = 40, what is the value [#permalink] New post   10 Jun 2019, 04:33
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If m and n are positive integers and m^2 + n^2 = 40, what is the value of m^3 + n^3?

A. 72
B. 224
C. 320
D. 512
E. 1,600
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Re: If m and n are positive integers and m^2 + n^2 = 40, what is the value [#permalink] New post   10 Jun 2019, 05:08
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Bunuel wrote:
If m and n are positive integers and m^2 + n^2 = 40, what is the value of m^3 + n^3?

A. 72
B. 224
C. 320
D. 512
E. 1,600


Squares of n and m have to be less than 40, so n and m <\(\sqrt{40}\) or 6... so 1, 2, 3, 4, 5, 6..
Substitute values to see what can fit in
Squares are 1, 4, 9, 16, 25, 36... 4+36=40
n and m as 2 and 6 give \(m^2 + n^2 = 40\), so \(m^3 + n^32^3+6^3=8+216=224\)

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Re: If m and n are positive integers and m^2 + n^2 = 40, what is the value [#permalink] New post   19 Mar 2020, 20:13
Quickly wrote few perfect squares on the piece of paper, 36 and 4 adds up to 40.

So answer is 8 + 216= 224

Bunuel wrote:
If m and n are positive integers and m^2 + n^2 = 40, what is the value of m^3 + n^3?

A. 72
B. 224
C. 320
D. 512
E. 1,600
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Re: If m and n are positive integers and m^2 + n^2 = 40, what is the value [#permalink]
19 Mar 2020, 20:13
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