
Pretty Palindromic Patterns
Last updated at June 18, 2025 by Teachoo
Transcript
Puzzle time Question - Page 62 I am a 5-digit palindrome. I am an odd number. My ‘t’ digit is double of my ‘u’ digit. My ‘h’ digit is double of my ‘t’ digit. Who am I? Let’s answer it I am an odd number: This means the last digit ('u') must be odd (1, 3, 5, 7, or 9). My 't' digit is double of my 'u' digit: If the 'u' digit were 3, the 't' digit would be 6. But then ‘h’ is double of ‘t’, so it cannot be 12 - which is not a single digit If the 'u' digit were 5 or higher, the 't' digit would be 10 or more, which isn't a single digit. This leaves the 'u' digit as 1 and the 't' digit as 2. My 'h' digit is double of my 't' digit: Since the 't' digit is 2, the 'h' digit must be 4 (2 × 2). I am a 5-digit palindrome: A palindrome reads the same forwards and backwards. Since the first three digits are 1, 2, and 4, the number must be 12,421. Hence, Who am I? 12,421 Write the number in words: Twelve thousand, four hundred twenty-one