a)a:b=6(rest6) b-toate ex problemele si rezolvarea
(40pc) dau coroana

punctul a
a+b=720
a÷b=6, rest 6
a=6×b+6
6×b+6+b=720
7×b=714
b=102
a=6×102+6=618

punctul b
a+b=1432
b÷a=9, rest 32
b=9×a+32
a+9×a+32=1432
10×a=1400
a=140
b=9×a+32
b=1292

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Cocirmariadenis Cocirmariadenis · Answer 2 · 2018-01-27T19:37:28+02:00

a)
a + b = 720
a : b = 6 rest 6
a = 6 x b + 6

Metoda grafica

a l------l------l------l------l------l------l + 6 } suma = 720
b l------l

720 - 6 = 714 → suma celor 7 parti egale
714 : 7 = 102 (b)
6 x 102 + 6 = 612 + 6 = 618 (a)

Verific: 618 + 102 = 720 → suma celor doua numere

b)
a + b = 1 432
b : a = 9 rest 32

Metoda grafica

a l--------l } 1 432
b l--------l--------l--------l--------l--------l--------l--------l--------l--------l+32

1 432 - 32 = 1 400 → suma celor 10 parti egale
1 400 : 10 = 140 ( a)
b = 9 x 140 + 32= 1 260 + 32 = 1 292
sau 1 432 - 140 = 1 292

Verific: 140 + 1 292 = 1 432→ suma numerelor
1 292 : 140 = 9 rest 32