Qisqa javob: МАРХУР (marxur).
Avval har bir ifodani bosqichma-bosqich hisoblaymiz. Qavs ichidagi amal birinchi, keyin ko‘paytirish/bo‘lish, keyin qo‘shish/ayirish bajariladi.
- A: \((5\,670-5\,490)\cdot 6:4=180\cdot 6:4=1\,080:4=270\)
- E₁: \(24\,320:80+103\cdot 4=304+412=716\)
- E₂: \(703\cdot 6+(987-187):20=4\,218+40=4\,258\)
- У: \((1\,024-847)\cdot 20-1\,542=177\cdot 20-1\,542=1\,998\)
- M: \((78\,000-34\,800):200=43\,200:200=216\)
- Р₁: \(1\,224+256\cdot 8-320=1\,224+2\,048-320=2\,952\)
- Р₂: \((520\cdot 60\cdot 4-78\,900):100=(124\,800-78\,900):100=459\)
- Х: \((72-66)\cdot 100+144:12=600+12=612\)
9 ga bo‘linish belgisi: sonning raqamlari yig‘indisi 9 ga bo‘linsa, son ham 9 ga bo‘linadi.
| Harf | Qiymat | Raqamlar yig‘indisi | 9 ga bo‘linadimi? |
|---|---|---|---|
| A | 270 | \(2+7+0=9\) | ha |
| E₁ | 716 | \(7+1+6=14\) | yo‘q |
| E₂ | 4 258 | \(4+2+5+8=19\) | yo‘q |
| У | 1 998 | \(1+9+9+8=27\) | ha |
| M | 216 | \(2+1+6=9\) | ha |
| Р₁ | 2 952 | \(2+9+5+2=18\) | ha |
| Р₂ | 459 | \(4+5+9=18\) | ha |
| Х | 612 | \(6+1+2=9\) | ha |
Tanlangan qiymatlarni o‘sish tartibida yozamiz:
\[ 216(M) < 270(A) < 459(Р) < 612(Х) < 1\,998(У) < 2\,952(Р) \]
Demak harflar: M — A — R — X — U — R, ya’ni МАРХУР.
Tekshirish:
\(216:9=24,\;270:9=30,\;459:9=51,\;612:9=68,\;1\,998:9=222,\;2\,952:9=328.\)
Javob: МАРХУР — tog‘ echkisining nomi.
