1997 PMWC Problems/Problem T9
Contents
Problem
Find the two -digit numbers which become nine times as large if the order of the digits is reversed.
Solution
The pair of numbers are and
1098910989$.
Notice that the sum of two numbers is 10 times of the smaller one. Let the smaller one be$ (Error compiling LaTeX. Unknown error_msg)a_9a_8a_7a_6a_5a_4a_3a_2a_1a_0a_0a_1a_2a_3a_4a_5a_6a_7a_8a_9
a_9a_8a_7a_6a_5a_4a_3a_2a_1a_010
a_9a_8a_7a_6a_5a_4a_3a_2a_1a_0
a_0a_1a_2a_3a_4a_5a_6a_7a_8a_9
a_9=1
a_0=9
(a_8=0, a_1=8)
(a_7=8, a_2=0)
(a_6=9, a_3=1)
(a_5=0, a_4=0)$.
Mistake Above Fix
The actual two numbers are , as mentioned above, but the second number is
, not
.
Someone please fix.
See Also
1997 PMWC (Problems) | ||
Preceded by Problem T8 |
Followed by Problem T10 | |
I: 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 T: 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 |