Page 231 - Math Grade 12 (Advance)
P. 231
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~fnmmn : 6oo = 25 x 24 t'tH'li:llrfst~ 12
25 sb 12 uli~~nt~~ i12J 24 &r.n;f:tlcist~ 12 '1
'ftrifi: ttJ~CiH~SStH~ n ttH'ii:llcisi:l a tib funi:llcisb b tib ttfiru a Sb b
lJ lJ
'Utl~~tlbm tS'H n tuni:llcisbtiillRM ab '1 OlSSruth ajn, bin Si:JGCD(a, b) = 1
~ I
MLY1W'l1f[pl'f: n tuni:llcisb a s12j'i:flSG~SRfi~~dl~ q f'tjru n = aq
n tuni:llcisb b s12J aq tunt:tlcisb b
m~tj~m1 Gauss GCD(a, b) = 1 tROlS q funi:llci b
t:imsg 'i:flS q' EN , q = bq'
u
n = aq = abq' s12J n funi:llcisb ab '1
~fnf.l)lnfl: 100 funi:llcisb 25 Sb 100 funi:llcisb 4 ttfi ru GCD(4, 25) = I
s1 ~ 1oo ftsni:llcisb 25 x 4 '1
Mfflni : 100 tuni:llciSb 4 Si:l 100 funi:llcisb 10 t&1 4 Sb 10 ~S'Utl~~nbm
~
w s1~ 100 fnn~si:llcisb 4x 10 w '1
1000 funi:llcisb 4 Sb 1000 funi:llciSb 10 ttfiru 4 Sb 10 ~S'Utl~~tlbff1t9
~
n. ti:ll&Uulruhl~fil~ 75x+ 125y = 5 f'tjru X sb y mcr~SRfi1w9u '1
C)} f!} Q 0 I C$ Q1
2. &i:h&Lhllruhl~fil~ 40x+80y = 4 tt:iru x sb y dlu~SRn ~ijl9'U '1
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