The sum of two numbers is 16 and the sum of their squares is 113. Find the
numbers.
Choose the correct choice from the following choices:  A) 1 and 2  B) 4 and 5  C) 7 and 8  D) 2 and 3  E) 6 and 7
Let the numbers be x and (15 - x).   Then, x2 + (15 - x)2 = 113 =&gt;	x2 + 225 + X2 - 30x = 113   =&gt; 2x2 - 30x + 112 = 0 =&gt; x2 - 15x + 56 = 0   =&gt; (x - 7) (x - 8) = 0 =&gt; x = 7 or x = 8.   So, the numbers are 7 and 8.   Answer is 7 and 8
<result>C</result>
The sum of two numbers is 16 and the sum of their squares is 113. Find the
numbers.