
у Коли и Сережи было вместе 60 монет Коля отдал Сереже 5 монет и у него стало в два раза больше чем
у Серёжи сколько монет было у Коли И сколько у Серёжи

Ответы на вопрос





Методом подбора: у Коли 45 монет, а у Сережи 15 монет.
От 45 монет - 5 монет (по условию)
Т.е. у Сережи становиться 20 монет, а у Коли 40 монет и это в 2 раза больше чем у Сережи.



Problem Analysis
We are given that Kolya and Seryozha had a total of 60 coins. Kolya gave Seryozha 5 coins, and after that, Kolya had twice as many coins as Seryozha. We need to find out how many coins Kolya and Seryozha had initially.Solution
Let's assume that initially, Kolya had x coins and Seryozha had y coins.According to the given information: 1. The total number of coins they had initially was 60, so we have the equation: x + y = 60. 2. After Kolya gave 5 coins to Seryozha, Kolya had twice as many coins as Seryozha. This can be expressed as: x - 5 = 2(y + 5).
We can solve this system of equations to find the values of x and y.
Solving the Equations
Let's solve the system of equations using the substitution method.From equation 1, we have: x = 60 - y.
Substituting this value of x into equation 2, we get: 60 - y - 5 = 2(y + 5).
Simplifying the equation, we have: 55 - y = 2y + 10.
Bringing all the terms involving y to one side, we get: 3y = 45.
Dividing both sides by 3, we find: y = 15.
Substituting this value of y back into equation 1, we have: x + 15 = 60.
Simplifying the equation, we find: x = 45.
Answer
Therefore, initially, Kolya had 45 coins and Seryozha had 15 coins.Verification
Let's verify our answer using the given information.Initially, Kolya had 45 coins and Seryozha had 15 coins. The total number of coins is indeed 60.
After Kolya gave 5 coins to Seryozha, Kolya had 40 coins and Seryozha had 20 coins. Kolya's number of coins is indeed twice as many as Seryozha's.
Therefore, our answer is correct.


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