Question

На столе лежало 14 конфет. аля ваня и костя решили поделить их так они закрыли глаза и каждый схватил горсть конфет потом каждый посмотрел сколько конфет у него оказалось Аля сказала язнаючто у вани и кости не поровну . Ваня сказал тогда я знаю у кого сколько конфет сколько конфет схватил каждый ?

Answer 1

Вариантов много:
11 и3
10и 4
9и5
8и6

Answer 2

6 и 8
или
5 и 9
или
4 и 10

Answer 3

Problem Analysis

Аля and Ваня each grabbed a handful of candies from a table with 14 candies. After looking at the number of candies they grabbed, Аля claimed that Ваня and Костя didn't have an equal number of candies. Ваня then claimed that he knows how many candies each of them grabbed. The question is, how many candies did each of them grab?

Solution

To solve this problem, we need to analyze the statements made by Аля and Ваня and use logical deduction.

Let's assume that Аля grabbed x candies and Ваня grabbed y candies.

According to Аля's statement, she knows that Ваня and Костя didn't have an equal number of candies. This means that x is not equal to y.

According to Ваня's statement, he knows how many candies each of them grabbed. This means that there is only one possible combination of x and y that satisfies both Аля's and Ваня's statements.

To find this combination, we can try different values of x and y and check if they satisfy the statements.

Let's start with x = 1 and y = 1: - Аля grabbed 1 candy. - Ваня grabbed 1 candy.

This combination doesn't satisfy Аля's statement because Ваня and Костя have an equal number of candies.

Let's try x = 1 and y = 2: - Аля grabbed 1 candy. - Ваня grabbed 2 candies.

This combination satisfies Аля's statement because Ваня and Костя don't have an equal number of candies.

Therefore, the solution is that Аля grabbed 1 candy and Ваня grabbed 2 candies.

Answer

Аля grabbed 1 candy and Ваня grabbed 2 candies.