Subjects algebra

Azizbek Konfet

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Azizbek Konfet


1. Muammo: Azizbekdagi konfetlar sonini topish. Ma'lum: - Azizbekdagi konfetlarning $\frac{3}{8}$ qismi Maftunadagi konfetlarning uch baravariga teng. - Maftunadagi konfetlar soni Azizbeknikidan 49 ta kam. 2. Belgilaymiz: - Azizbekdagi konfetlar soni $A$ - Maftunadagi konfetlar soni $M$ 3. Tenglamalarni yozamiz: - $\frac{3}{8} A = 3M$ - $M = A - 49$ 4. Birinchi tenglamani $M$ bo'yicha yechamiz: $$\frac{3}{8} A = 3M \implies M = \frac{3}{8} \cdot \frac{A}{3} = \frac{A}{8}$$ 5. Endi bu $M$ qiymatini ikkinchi tenglamaga qo'yamiz: $$\frac{A}{8} = A - 49$$ 6. Tenglamani yechamiz: $$\frac{A}{8} - A = -49$$ $$\frac{A}{8} - \frac{8A}{8} = -49$$ $$-\frac{7A}{8} = -49$$ $$\frac{7A}{8} = 49$$ 7. $A$ ni topamiz: $$A = 49 \times \frac{8}{7} = 49 \times \frac{8}{7} = 7 \times 8 = 56$$ Javob: Azizbekdagi konfetlar soni **56** ta.