diff --git a/Lib/test/test_float.py b/Lib/test/test_float.py
index 4224306..4ec894c 100644
--- a/Lib/test/test_float.py
+++ b/Lib/test/test_float.py
@@ -27,6 +27,12 @@
 test_dir = os.path.dirname(__file__) or os.curdir
 format_testfile = os.path.join(test_dir, 'formatfloat_testcases.txt')
 
+class FloatSubclass(float):
+    pass
+
+class OtherFloatSubclass(float):
+    pass
+
 class GeneralFloatCases(unittest.TestCase):
 
     def test_float(self):
@@ -200,6 +206,15 @@
                 return ""
         self.assertRaises(TypeError, time.sleep, Foo5())
 
+        # Issue #24731
+        class F:
+            def __float__(self):
+                return OtherFloatSubclass(42.)
+        self.assertAlmostEqual(float(F()), 42.)
+        self.assertIs(type(float(F())), OtherFloatSubclass)
+        self.assertAlmostEqual(FloatSubclass(F()), 42.)
+        self.assertIs(type(FloatSubclass(F())), FloatSubclass)
+
     def test_is_integer(self):
         self.assertFalse((1.1).is_integer())
         self.assertTrue((1.).is_integer())
diff --git a/Lib/test/test_int.py b/Lib/test/test_int.py
index 2ca6cf2..0dd8efc 100644
--- a/Lib/test/test_int.py
+++ b/Lib/test/test_int.py
@@ -45,6 +45,9 @@
         (unichr(0x200), ValueError),
 ]
 
+class IntSubclass(int):
+    pass
+
 class IntLongCommonTests(object):
 
     """Mixin of test cases to share between both test_int and test_long."""
@@ -477,6 +480,18 @@
                     self.fail("Failed to raise TypeError with %s" %
                               ((base, trunc_result_base),))
 
+                class TruncReturnsIntSubclass(base):
+                    def __trunc__(self):
+                        return True
+                good_int = TruncReturnsIntSubclass()
+                n = int(good_int)
+                self.assertEqual(n, 1)
+                self.assertIs(type(n), bool)
+                n = IntSubclass(good_int)
+                self.assertEqual(n, 1)
+                self.assertIs(type(n), IntSubclass)
+
+
 def test_main():
     run_unittest(IntTestCases)
 
diff --git a/Lib/test/test_long.py b/Lib/test/test_long.py
index ffa4774..b65d24c 100644
--- a/Lib/test/test_long.py
+++ b/Lib/test/test_long.py
@@ -79,6 +79,12 @@
         (unichr(0x200), ValueError),
 ]
 
+class LongSubclass(long):
+    pass
+
+class OtherLongSubclass(long):
+    pass
+
 class LongTest(test_int.IntLongCommonTests, unittest.TestCase):
 
     ntype = long
@@ -539,6 +545,17 @@
                     self.fail("Failed to raise TypeError with %s" %
                               ((base, trunc_result_base),))
 
+                class TruncReturnsLongSubclass(base):
+                    def __long__(self):
+                        return OtherLongSubclass(42L)
+                good_int = TruncReturnsLongSubclass()
+                n = long(good_int)
+                self.assertEqual(n, 42L)
+                self.assertIs(type(n), OtherLongSubclass)
+                n = LongSubclass(good_int)
+                self.assertEqual(n, 42L)
+                self.assertIs(type(n), LongSubclass)
+
     def test_misc(self):
 
         # check the extremes in int<->long conversion
diff --git a/Lib/test/test_str.py b/Lib/test/test_str.py
index 774c634..5bb9f48 100644
--- a/Lib/test/test_str.py
+++ b/Lib/test/test_str.py
@@ -4,6 +4,9 @@
 from test import test_support, string_tests
 
 
+class StrSubclass(str):
+    pass
+
 class StrTest(
     string_tests.CommonTest,
     string_tests.MixinStrUnicodeUserStringTest,
@@ -107,6 +110,9 @@
         self.assertEqual(str(Foo6("bar")), "foos")
         self.assertEqual(str(Foo7("bar")), "foos")
         self.assertEqual(str(Foo8("foo")), "foofoo")
+        self.assertIs(type(str(Foo8("foo"))), Foo8)
+        self.assertEqual(StrSubclass(Foo8("foo")), "foofoo")
+        self.assertIs(type(StrSubclass(Foo8("foo"))), StrSubclass)
         self.assertEqual(str(Foo9("foo")), "string")
         self.assertEqual(unicode(Foo9("foo")), u"not unicode")
 
diff --git a/Lib/test/test_unicode.py b/Lib/test/test_unicode.py
index be8f89b..b12f982 100644
--- a/Lib/test/test_unicode.py
+++ b/Lib/test/test_unicode.py
@@ -33,6 +33,9 @@
         return None
 codecs.register(search_function)
 
+class UnicodeSubclass(unicode):
+    pass
+
 class UnicodeTest(
     string_tests.CommonTest,
     string_tests.MixinStrUnicodeUserStringTest,
@@ -685,9 +688,6 @@
             u'unicode remains unicode'
         )
 
-        class UnicodeSubclass(unicode):
-            pass
-
         self.assertEqual(
             unicode(UnicodeSubclass('unicode subclass becomes unicode')),
             u'unicode subclass becomes unicode'
@@ -1269,6 +1269,9 @@
         self.assertEqual(unicode(Foo6("bar")), u"foou")
         self.assertEqual(unicode(Foo7("bar")), u"foou")
         self.assertEqual(unicode(Foo8("foo")), u"foofoo")
+        self.assertIs(type(unicode(Foo8("foo"))), Foo8)
+        self.assertEqual(UnicodeSubclass(Foo8("foo")), u"foofoo")
+        self.assertIs(type(UnicodeSubclass(Foo8("foo"))), UnicodeSubclass)
         self.assertEqual(str(Foo9("foo")), "string")
         self.assertEqual(unicode(Foo9("foo")), u"not unicode")