<PRE><B>Question 1204311</B>
&lt;pre&gt;
I have 5 more brothers than sisters, and each of my brothers have 3 more brothers than sisters. (If there are 10 family members total, how many are brothers)

I do believe that this problem should be edited to read: I have 5 more brothers than sisters, and each of my brothers
have 3 more brothers than sisters. (If there are 10 &lt;font color = red&gt;&lt;s&gt;family members&lt;/font&gt;&lt;/s&gt;&lt;font color = blue&gt; siblings&lt;/font&gt; total, how many are &lt;font color = red&gt;&lt;s&gt; brothers)&lt;/font&gt;&lt;/s&gt;&lt;font color = blue&gt; MALES)&lt;/font&gt;

Let the number of brothers be B
Then number of sisters = B - 5
Including the NARRATOR, we get the following TOTAL-SIBLINGS equation: 1 + B + B - 5 = 10
                                                                             2B - 4 = 10
                                                                                 2B = 14
                                                          Number of brothers, or {{{matrix(1,5, B, &quot;=&quot;, 14/2, &quot;=&quot;, 7)}}}
&lt;font color = blue&gt;&lt;font size = 4&gt;&lt;b&gt;&lt;u&gt;SCENARIO #1 (MALE NARRATOR)&lt;/font&gt;&lt;/font&gt;&lt;/b&gt;&lt;/u&gt;
Now, if a MALE narrator, the number of MALE SIBLINGS = 7 + 1 = 8. This gives us a total of 8 brothers
and 2 sisters, which means that each brother would have 7 brothers and 2 sisters, or 5 more brothers
than sisters. This makes the statement: &quot;each of my brothers have 3 more brothers than sisters,&quot; FALSE.  

&lt;font color = red&gt;&lt;font size = 4&gt;&lt;b&gt;&lt;u&gt;SCENARIO #2 (FEMALE NARRATOR)&lt;/font&gt;&lt;/font&gt;&lt;/b&gt;&lt;/u&gt;
Now, if the NARRATOR were FEMALE, and with the established number of brothers being 7 (see above), the number of
FEMALE SIBLINGS would be 3 (2 + narrator). This gives us a total of 7 brothers and 3 sisters, which means that the
narrator (one of the sisters) has 7 brothers and 2 sisters, or 5 more brothers that sisters. This makes the statement:
&quot;I have 5 more brothers than sisters,&quot; TRUE. 

This also means that each brother would have 6 brothers and 3 sisters, or 3 more brothers than sisters, which also 
makes the statement: &quot;each of my brothers have 3 more brothers than sisters,&quot; a TRUE one.

Hence, the NARRATOR is FEMALE, and there are 3 FEMALE and &lt;font color = blue&gt;&lt;font size = 4&gt;&lt;b&gt;7 MALE SIBLINGS!&lt;/font&gt;&lt;/font&gt;&lt;/b&gt;&lt;/pre&gt;</PRE>