The sum of five consecutive odd numbers is 85 . Find the numbers.

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Solution

$l e t t h e n u m b e r s b e n, n + 2, n + 4, n + 6, n + 8 t h e n$
$s u m = n + (n + 2) + (n + 4) + (n + 6) + (n + 8)$
$85 = 5 n + 20$
$13 = n + 4$
$∴ n = 13 - 4 = 9$
So the numbers are $9, 11, 13, 15, 17$

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The sum of five consecutive odd numbers is 85 . Find the numbers.

letthenumbersben,n+2,n+4,n+6,n+8thensum=n+(n+2)+(n+4)+(n+6)+(n+8)85=5n+2013=n+4∴n=13−4=9So the numbers are 9,11,13,15,17

$l e t t h e n u m b e r s b e n, n + 2, n + 4, n + 6, n + 8 t h e n$
$s u m = n + (n + 2) + (n + 4) + (n + 6) + (n + 8)$
$85 = 5 n + 20$
$13 = n + 4$
$∴ n = 13 - 4 = 9$
So the numbers are $9, 11, 13, 15, 17$