Question: Two flowers have a number written on each petal. One petal is hidden. The sum of the numbers on the flowers is equal to each other. What number is written on the hidden petal? Top flower at top-right has petals labeled 2, 4, 6, 8 and one hidden petal; bottom flower at center has petals labeled 1, 3, 5, 7, 9. Hidden petal = 1 + 3 + 5 + 7 + 9 - (2 + 4 + 6 + 8) = 25 - 20 = 5.
1. Masalani bayon qilamiz: ikkita gul bor, har bir bargida raqam yozilgan. Bitta barg yashirilgan. Gul barglaridagi raqamlar yig'indisi teng.
2. Berilganlar: yuqori gul barglari: $2, 4, 6, 8$ va bitta yashirin barg; pastki gul barglari: $1, 3, 5, 7, 9$.
3. Maqsad: yashirin bargdagi raqamni topish.
4. Yig'indilar tengligi shartiga ko'ra:
$$2 + 4 + 6 + 8 + x = 1 + 3 + 5 + 7 + 9$$
bu yerda $x$ - yashirin bargdagi raqam.
5. Chap va o'ng tomonni alohida yig'amiz:
$$2 + 4 + 6 + 8 = 20$$
$$1 + 3 + 5 + 7 + 9 = 25$$
6. Tenglama:
$$20 + x = 25$$
7. $x$ ni topamiz:
$$x = 25 - 20$$
$$x = 5$$
8. Natija: yashirin bargdagi raqam $5$ ga teng.
Bu masala oddiy yig'indilar va tenglikka asoslangan. Har bir gul barglaridagi raqamlar yig'indisi teng bo'lishi uchun yashirin bargdagi raqam $5$ bo'lishi kerak.