Question 135568
To make sure a number is odd, call it {{{2n + 1}}} where {{{n}}}
is any number. Consecutive odd numbers are
{{{2n + 1}}}, {{{2n + 3}}}
{{{(2n + 3)^2 - (2n + 1)^2 = 24}}}
{{{4n^2 + 12n + 9 - 4n^2 - 4n - 1 = 24}}}
{{{8n + 8 = 24}}}
{{{8n = 16}}}
{{{n = 2}}}
{{{2n + 1 = 5}}}
{{{2n + 3 = 7}}}
The numbers are 5 and 7
check:
{{{7^2 - 5^2 = 49 - 25}}}
{{{49 - 25 = 24}}}
{{{24 = 24}}}
OK