<PRE><B>Question 1135721</B>
&lt;br&gt;
If the sum of 4 numbers in AP is 50, then the sum of the first and last is 25, and the sum of the 2nd and 3rd is 25.&lt;br&gt;
We are told that the largest number is 4 times the smallest, so call them a and 4a.&lt;br&gt;
Then we know a+4a = 5a = 25; so a=5.&lt;br&gt;
Then the largest and smallest numbers are a=5 and 4a=20.&lt;br&gt;
The difference of 15 between the largest and smallest of the 4 numbers is 3 times the common difference, so the common difference is 5.  That makes the other two numbers 10 and 15.&lt;br&gt;
So the 4 numbers are 5, 10, 15, and 20.&lt;br&gt;
Note we don&#39;t know what the actual AP is; it could be either&lt;br&gt;
5, 10, 15, 20&lt;br&gt;
or&lt;br&gt;
20,15,10,5&lt;br&gt;</PRE>