I Tavi

36 cnobilia, rom a + b = 3a – 4b. ipoveT:
a) 5 + 3; b) 10 + 7; g) 8 + 1; d) 7 + 5; e) 3 + 2.
37 erTi rveuli x TeTri Rirs, 1 wigni – y TeTri. dawereT 5 rveulisa da 7
wignis Rirebulebis gamosaTvleli gamosaxuleba.
38 erT nakveTze x xe darges, meoreze 2-jer meti, mesameze ki 3-iT meti, vidre
meoreze. dawereT gamosaxuleba: ramdeni xe darges samive nakveTze.
39 erTi manqana x km/sT siCqariT moZraobs meore 5 km/sT-iT meti siCqariT. ra
manZils gaivlis orive manqana 5 saaTSi?
40 1 Tojina x lari Rirs, 1 burTi ki y lari. dawereT gamosaxuleba:
a) ra Rirs 3 Tojina da 2 burTi;
b) ramdeni lariT meti Rirs 7 burTi 2 Tojinaze;
g) ramdeni lariT naklebi Rirs 1 Tojina 2 burTze.
41 dawereT 36-isa da 24-is martiv gamyofTa simravleebis TanakveTa, gaer-
Tianeba.
42 ipoveT AAsimravlis yvela qvesimravle:
a) A={2}; b) A={2;5}; g) A={2;5;3}; d) A={1;2;–2;0}.
43* daamtkiceT, rom:
a) (15·11 + 6·11) iyofa 7-ze; b) (38·13 + 14·13) iyofa 4-ze.
udidesma berZenma maTematikosma evklidem daamtkica, rom martiv ricxvTa simravle
usasruloa.
gamoCenilma berZenma mecnierma eratosTenem (Zv. w. 276-194) mogvca wesi, romlis
saSualebiTac SesaZlebelia vipovoT raime ricxvze naklebi yvela martivi ricxvi.
SevadginoT cxrili (nax. 1)
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 50
51 52 53 54 55 56 57 58 59 60
61 62 63 64 65 66 67 68 69 70
1 araa martivi ricxvi, amitom gadavxazoT.
2 _ martivi ricxvia, igi davtovoT. gadavxazoT misi jeradi yvela ricxvi.
3-ic martivia da davtovoT. gadavxazoT yvela misi jeradi ricxvi, e. i. 4-dan dawyebuli
yoveli mesame (yvela gadaxazuls vTvliT). amis Semdeg pirveli gadauxazavi
ricxvi martivi iqneba. esaa ricxvi 5. mas vtovebT da vxazavT yvela mis jerads da
a. S. sabolood gadaixazeba yvela Sedgenili ricxvi da darCeba martivi ricxvebi.
martivi ricxvebis moZebnis am wess eratosTenes saceri hqvia.
57