Difference of ages of father and son is 24 years. Two years back age of father was twice the son's present age. What is father's age now?
Correct Answer:
B. 46
Explanation:
To find the father's current age, we can set up two equations based on the information provided. Let F represent the father's current age and S represent the son's current age.
The first piece of information states that the difference in their ages is 24 years, which gives us the equation: F - S = 24. From this, we can express the son's age as S = F - 24.
The second piece of information states that two years ago, the father's age was twice the son's current age. This can be written as: F - 2 = 2S.
By substituting the first equation into the second, we get: F - 2 = 2(F - 24). Expanding this gives F - 2 = 2F - 48. Rearranging the terms to solve for F, we subtract F from both sides and add 48 to both sides, resulting in F = 46. Therefore, the father's current age is 46 years.
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