diff --git a/exercises/practice/eliuds-eggs/.docs/introduction.md b/exercises/practice/eliuds-eggs/.docs/introduction.md
index 8198974809..2b2e5c43d8 100644
--- a/exercises/practice/eliuds-eggs/.docs/introduction.md
+++ b/exercises/practice/eliuds-eggs/.docs/introduction.md
@@ -58,7 +58,7 @@ The position information encoding is calculated as follows:
 
 ### Decimal number on the display
 
-16
+8
 
 ### Actual eggs in the coop
 
diff --git a/exercises/practice/luhn/.docs/introduction.md b/exercises/practice/luhn/.docs/introduction.md
index ec2bd709d2..dee48006ed 100644
--- a/exercises/practice/luhn/.docs/introduction.md
+++ b/exercises/practice/luhn/.docs/introduction.md
@@ -2,10 +2,10 @@
 
 At the Global Verification Authority, you've just been entrusted with a critical assignment.
 Across the city, from online purchases to secure logins, countless operations rely on the accuracy of numerical identifiers like credit card numbers, bank account numbers, transaction codes, and tracking IDs.
-The Luhn algorithm is a simple checksum formula used to ensure these numbers are valid and error-free.
+The Luhn algorithm is a simple checksum formula used to help identify mistyped numbers.
 
 A batch of identifiers has just arrived on your desk.
 All of them must pass the Luhn test to ensure they're legitimate.
-If any fail, they'll be flagged as invalid, preventing errors or fraud, such as incorrect transactions or unauthorized access.
+If any fail, they'll be flagged as invalid, preventing mistakes such as incorrect transactions or failed account verifications.
 
 Can you ensure this is done right? The integrity of many services depends on you.