If the sum of the ages of a father and his son is 50 years and the father is 4 t

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Question: If the sum of the ages of a father and his son is 50 years and the father is 4 times as old as the son, how old is the son?

Options:

Correct Answer: 10 years

Solution:

Let the son\'s age be x. Then father\'s age = 4x. According to the problem, x + 4x = 50, which gives 5x = 50, so x = 10.

If the sum of the ages of a father and his son is 50 years and the father is 4 times as old as the son, how old is the son?

If the sum of the ages of a father and his son is 50 years and the father is 4 times as old as the son, how old is the son?

Step 1: Let the son's age be represented by the variable x.
Step 2: Since the father is 4 times as old as the son, we can express the father's age as 4x.
Step 3: According to the problem, the sum of the father's age and the son's age is 50 years. We can write this as x + 4x = 50.
Step 4: Combine the terms on the left side of the equation: 1x + 4x = 5x. So, we have 5x = 50.
Step 5: To find the value of x (the son's age), divide both sides of the equation by 5: x = 50 / 5.
Step 6: Calculate the result: x = 10. Therefore, the son is 10 years old.

Algebraic Equations – The problem involves setting up and solving a linear equation based on the relationship between the ages of the father and son.
Word Problems – The question is a word problem that requires translating a real-world scenario into mathematical expressions.