Let ab be a two-digit number. Now, swap its digits to form another two-digit number, multiply it by 5 and take the remainder of the result when divided by 9. If the resulting number is 5, then how many different ab exist? (A) 7 (В) 8 (С) 9 (D) 10 (E) I1 O B C

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.7: Puzzle Problems
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Let ab be a two-digit number. Now, swap its digits to form another two-digit
number, multiply it by 5 and take the remainder of the result when divided by 9.
If the resulting number is 5, then how many different ab exist?
(A) 7
(В) 8
(C) 9
(D) 10
(E) 11
A
O B
C
Transcribed Image Text:Let ab be a two-digit number. Now, swap its digits to form another two-digit number, multiply it by 5 and take the remainder of the result when divided by 9. If the resulting number is 5, then how many different ab exist? (A) 7 (В) 8 (C) 9 (D) 10 (E) 11 A O B C
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