Question

[ab, ba ] = 162
trebuie sa aflam a si b
[ab, ba ] - reprezinta c.m.m.m.c

Answer 1

[ab, ba ] = 162

162=2•3^4

ab divide 162 si ba divide 162

2•3<10 ; (ab≥10)

1. fie ab=2•3^2

ab=18 => ba=81

[18,81]=162

2. ab=3^3

ab=27 => ba=72, nu convine, 72=2^3•3^2

3.  ab=2•3^3

ab=54 => ba=45, nu convine, apare si factorul 5; (45=3^2•5)

4.  ab=3^4

ab=81 => ba=18

[81,18]=162

=> a=18 si b=81,  sau a=81 si b=18