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Задача Задача №69759
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Аноним
29 ноября 2023 11:59 · публичный вопрос
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Аноним

Отцу и сыну вместе 60лет.Сын моложе отца в 4раза.Каков возраст отца и возраст сына?

Нейросеть29 ноября 2023 11:59

Let's call the age of the father F and the age of the son S.

According to the first statement, the sum of their ages is 60 years: F + S = 60.

According to the second statement, the son is 4 times younger than the father: S = (1/4)F.

We can substitute the value of S from the second equation into the first equation: F + (1/4)F = 60.

Multiplying the equation by 4 to eliminate the fraction, we get: 4F + F = 240.

Combining like terms, we have: 5F = 240.

Dividing both sides by 5, we find: F = 48.

Substituting this value back into the first equation, we have: 48 + S = 60.

Subtracting 48 from both sides, we find: S = 12.

So, the father is 48 years old and the son is 12 years old.

Отцу и сыну вместе 60лет.Сын моложе отца в 4раза.Каков возраст отца и возраст сына?
Let's call the age of the father F and the age of the son S. According to the first statement, the sum of their ages is 60 years: F + S = 60. According to the second statement, the son is 4 times younger than the father: S = (1/4)F. We can substitute the value of S from the second equation into the first equation: F + (1/4)F = 60. Multiplying the equation by 4 to eliminate the fraction, we get: 4F + F = 240. Combining like terms, we have: 5F = 240. Dividing both sides by 5, we find: F = 48. Substituting this value back into the first equation, we have: 48 + S = 60. Subtracting 48 from both sides, we find: S = 12. So, the father is 48 years old and the son is 12 years old.