diff --git a/stdlib/3/builtins.pyi b/stdlib/3/builtins.pyi
index b4ee85b2d..074cd4914 100644
--- a/stdlib/3/builtins.pyi
+++ b/stdlib/3/builtins.pyi
@@ -446,7 +446,10 @@ class tuple(Sequence[_T_co], Generic[_T_co]):
     def __mul__(self, n: int) -> Tuple[_T_co, ...]: ...
     def __rmul__(self, n: int) -> Tuple[_T_co, ...]: ...
     def count(self, x: Any) -> int: ...
-    def index(self, x: Any) -> int: ...
+    if sys.version_info >= (3, 5):
+        def index(self, x: Any, start: int = 0, end: int = 0) -> int: ...
+    else:
+        def index(self, x: Any) -> int: ...
 
 class function:
     # TODO not defined in builtins!
diff --git a/stdlib/3/typing.pyi b/stdlib/3/typing.pyi
index e89daad03..571847b79 100644
--- a/stdlib/3/typing.pyi
+++ b/stdlib/3/typing.pyi
@@ -1,5 +1,6 @@
 # Stubs for typing
 
+import sys
 from abc import abstractmethod, ABCMeta
 
 # Definitions of special type checking related constructs.  Their definition
@@ -145,7 +146,10 @@ class Sequence(Iterable[_T_co], Container[_T_co], Sized, Reversible[_T_co], Gene
     @abstractmethod
     def __getitem__(self, s: slice) -> Sequence[_T_co]: ...
     # Mixin methods
-    def index(self, x: Any) -> int: ...
+    if sys.version_info >= (3, 5):
+        def index(self, x: Any, start: int = 0, end: int = 0) -> int: ...
+    else:
+        def index(self, x: Any) -> int: ...
     def count(self, x: Any) -> int: ...
     def __contains__(self, x: object) -> bool: ...
     def __iter__(self) -> Iterator[_T_co]: ...