<PRE><B>Question 1070108</B>
let n be the natural number, then
:
((n + 5) / 1) = (36 / n)
:
cross multiply fractions
:
n(n + 5) = 36
:
n^2 +5n -36 = 0
:
(n + 9) * (n - 4) = 0
:
Note that a natural number is a positive integer
:
n = -9, n = 4
:
we reject the negative number, -9 as a solution
:
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The natural number solution is 4
:
check answer
:
4 + 5 = (36 / 4)
:
9 = 9
:
our answer checks
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