In the subtraction shown, $X$ and $Y$ are digits. What is the value of $X+Y$ ?
(A) 15
(B) 12
(C) 10
(D) 13
(E) 9
We rearrange the given subtraction to create the addition statement $45+8 Y=1 X 2$.

Next, we consider the units digits.

From the statement, the sum $5+Y$ has a units digit of 2 . This means that $Y=7$. This is the only possibility. Therefore, we have $45+87=1 X 2$.

But $45+87=132$, so $X=3$.

Therefore, $X+Y=3+7=10$.

(We can check that $132-87=45$, as required.)

ANswer: (C)