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Question

For some positive integers m and n, 23 + 28 + 23 - 28 = m + n.Enter the ordered pair (m,n).

Accepted Answer

Let x = 23 + 28 + 23 - 28. Then align* x^2 &= 23 + 28 + 2 23 + 28 23 - 28 + 23 - 28 &= 46 + 2 23^2 - 28 &= 46 + 2 501 &= 46 + 2004. align*Hence, (m,n) = (46,2004).