If a 12-year-old boy is 1/3 as old as his father, how old will the father be when the son is 24?
The father will be 48 years old when the son is 24.
Currently, the 12-year-old boy is 1/3 the age of his father, meaning the father is 36 years old. When the son reaches 24, he will be 12 years older, and the father will also age 12 years, bringing his age to 48.
This choice reflects the current age of the father but does not account for the passage of time. In 12 years, both the son and the father will age, and the father will not remain 36 years old.
If the father were to be 40 years old when the son is 24, it would imply he aged only 4 years in the same time span. This scenario is impossible since both individuals will continue to age equally.
This choice correctly calculates the father's age when the son turns 24. Both the son and father will age 12 years, making the father 48 years old.
This option suggests that the father would be 60 years old when the son is 24, which would mean the father would need to age 24 years. This is incorrect, as the son would only increase in age by 12 years.
This choice indicates an even larger age gap, suggesting the father ages 36 years while the son ages only 12 years. This is not consistent with the information provided in the problem.
This option implies that none of the provided answers are correct, which is false because choice C is accurate.
In this age-related problem, determining the father's age when the son reaches 24 requires understanding the current age relationship. The father is currently 36, and as both age equally in the subsequent years, he will be 48 when the son turns 24. Thus, the only logical answer is option C, which accurately reflects the ages involved.
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