Question 166
Inaya puts $88$ fours in a row and gets a very big number:
$$
\underbrace{4444\cdots4444}_{\text{88 fours}}
$$
She writes the fours as a plus sign with a slash in the upper left corner. When she removes that slash, she gets a plus sign. So she can make additions like
$$
44444444+44\cdots44444444
$$
The addition may not begin or end with a plus sign. By cleverly choosing at which of the $88$ fours she removes the slash, Inaya makes an addition with the result being $4444$.
In how many fours did she remove the slash?
A) $4$
B) $11$
C) $22$
D) $29$
E) $30$
$$
\underbrace{4444\cdots4444}_{\text{88 fours}}
$$
She writes the fours as a plus sign with a slash in the upper left corner. When she removes that slash, she gets a plus sign. So she can make additions like
$$
44444444+44\cdots44444444
$$
The addition may not begin or end with a plus sign. By cleverly choosing at which of the $88$ fours she removes the slash, Inaya makes an addition with the result being $4444$.
In how many fours did she remove the slash?
A) $4$
B) $11$
C) $22$
D) $29$
E) $30$