Question

va rog am nevoie de ex 8!!!​

Answer 1

Răspuns:

Fie a numarul care trebuie aflat

c=cat

a/12=c1 ; r7

a/28=c2 ; r7

a/36=c3 ; r7

a=12c1+7 ; a=28c2+7 ; a=36c3+7

cmmmc(12;38;36)=2²×3²×7=4×9×7=252

12=2²×3 ; 28=2²×7 ; 36=2²×3²

=> a=252

Verificare:

252+7/12=21 rest7

252+7/28=9 rest 7

252+7/36=7rest7

Answer 2

Răspuns:

n:12 = c₁ rest 7=> n-7=12c₁

n:28 = c₂ rest 7=> n-7=28c₂

n:36 = c₃ rest 7=> n-7=36c₃

n-7=cmmmc al numerelor ( 12; 28 si 36 )

12=2²·3

28=2²·7

36=2²·3²

cmmmc ( 12; 28;36 ) =2²·3²·7=4·9·7=252

n-7=252=>n=252+7=>n=259

259 < 600

verificare:

259:12=19 rest 7

259:28= 9 rest 7

259:36= 7 rest 7