
Figure it out - Page 72, 73
Last updated at June 18, 2025 by Teachoo
Transcript
Question 2 How many rounds does your year of birth take to reach the Kaprekar constant?Let’s assume you were born in 2013 Let’s follow the steps Arrange the digits to create the largest and smallest possible numbers. Largest number (A): 3210 Smallest number (B): 0123 Subtract the smaller number from the larger one. 3210 - 0123 = 3210 – 123 = 3087 2. Repeat the process with the new number (5085). Largest number: 8550 Smallest number: 0558 Subtraction: 8730 - 0378 = 8730 – 378 = 8352 3. Repeat again with the new number (8352). Largest number: 8532 Smallest number: 2358 Subtraction: 8532 - 2358 = 6174 Thus, after 3 rounds, we have arrived at 6174, Kaprekar's constant.