diff --git a/Tests/images/invalid-exif-without-x-resolution.jpg b/Tests/images/invalid-exif-without-x-resolution.jpg
new file mode 100644
index 000000000..00f6bd2f3
Binary files /dev/null and b/Tests/images/invalid-exif-without-x-resolution.jpg differ
diff --git a/Tests/test_file_jpeg.py b/Tests/test_file_jpeg.py
index 5a34a3faa..2d9864d9a 100644
--- a/Tests/test_file_jpeg.py
+++ b/Tests/test_file_jpeg.py
@@ -634,6 +634,14 @@ class TestFileJpeg(PillowTestCase):
         # OSError for unidentified image.
         self.assertEqual(im.info.get("dpi"), (72, 72))
 
+    def test_invalid_exif_x_resolution(self):
+        # When no x or y resolution defined in EXIF
+        im = Image.open("Tests/images/invalid-exif-without-x-resolution.jpg")
+
+        # This should return the default, and not a ValueError or
+        # OSError for unidentified image.
+        self.assertEqual(im.info.get("dpi"), (72, 72))
+
     def test_ifd_offset_exif(self):
         # Arrange
         # This image has been manually hexedited to have an IFD offset of 10,
diff --git a/src/PIL/JpegImagePlugin.py b/src/PIL/JpegImagePlugin.py
index da0759129..62c8d6281 100644
--- a/src/PIL/JpegImagePlugin.py
+++ b/src/PIL/JpegImagePlugin.py
@@ -172,7 +172,7 @@ def APP(self, marker):
                 # 1 dpcm = 2.54 dpi
                 dpi *= 2.54
             self.info["dpi"] = int(dpi + 0.5), int(dpi + 0.5)
-        except (KeyError, SyntaxError, ZeroDivisionError):
+        except (KeyError, SyntaxError, ValueError, ZeroDivisionError):
             # SyntaxError for invalid/unreadable EXIF
             # KeyError for dpi not included
             # ZeroDivisionError for invalid dpi rational value