Question

Select the correct answer. The age of a father is 2 less than 7 times the age of his son. In 3 years, the sum of their ages will be 52. If the son’s present age is s years, which equation models this situation?

Answer 1

Answer: 7s - 2 + 3 + (s + 3) = 52

Step-by-step explanation:

• According to the problem, the age of the father (F) is 2 less than 7 times the age of his son (S). This can be written as: F = 7S - 2
• In 3 years, the sum of their ages will be 52. So, we need to add 3 to each of their present ages and set the sum equal to 52. This can be written as: F + 3 + S + 3 = 52
• Substituting the expression for F from the first equation, we get: (7S - 2) + 3 + S + 3 = 52
• Simplifying, we get: 8S + 4 = 52
• Solving for S, we get: S = 6
• Therefore, the son's present age is 6 years.So, the correct equation that models this situation is:7s - 2 + 3 + (s + 3) = 52, which simplifies to 8s + 4 = 52.