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Select the correct answerA man's age is 125% of what it was 10 years ago, but 83 1/3% of what it will be after 10 years. What is his present age?Options50406070

Question

Select the correct answerA man's age is 125% of what it was 10 years ago, but 83 1/3% of what it will be after 10 years. What is his present age?Options50406070

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Solution

Let's solve this step by step:

  1. Let's assume the man's present age is X years.

  2. According to the problem, the man's age is 125% of what it was 10 years ago. This can be written as: X = 1.25 * (X - 10)

  3. The problem also states that the man's age is 83 1/3% of what it will be in 10 years. This can be written as: X = (5/6) * (X + 10)

  4. Now we have two equations, and we can solve for X:

    From the first equation: X = 1.25X - 12.5 Simplifying, we get: 0.25X = 12.5 Solving for X, we get: X = 50

    From the second equation: X = (5/6)X + 50/6 Simplifying, we get: (1/6)X = 50/6 Solving for X, we get: X = 50

  5. Therefore, the man's present age is 50 years. So, the correct answer is 50.

This problem has been solved

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