MathDB

1

Part of 1995 Cono Sur Olympiad

Problems(2)

Find the number

Source: Cono Sur Olympiad, 1995, Problem#1

5/28/2006
Find a number with 33 digits, knowing that the sum of its digits is 99, their product is 2424 and also the number read from right to left is 2738\frac{27}{38} of the original.
number theory
Cono sur olympiad 1995

Source:

5/28/2006
We write the digits of 19951995 in the following way: 199511999955111999999555......199511999955111999999555...... 1. Determine how many digits we have to write such that the sum of the written digits is 28802880. 2.Which digit is in position number 19951995?