The numbers $6,14, x, 17,9, y, 10$ have a mean of 13 . What is the value of $x+y$ ?
(A) 20
(B) 21
(C) 23
(D) 25
(E) 35
The numbers $6,14, x, 17,9, y, 10$ have a mean of 13 . What is the value of $x+y$ ?
(A) 20
(B) 21
(C) 23
(D) 25
(E) 35

## Solution

If the 7 numbers have a mean of 13 , this implies that these numbers would have a sum of $7 \times 13=91$. We now can calculate $x+y$ since, $6+14+x+17+9+y+10=91$. Therefore, $x+y=35$.

ANSWER: (E)