36. If the ratio of the ages of A and B is 3:4, and after 5 years, the sum of their ages will be 60, what is the current age of A? A. 15 B. 18 C. 21 D. 24
Answer (2)
Answer:Here's how to solve the problem: 1. Set up the Ratios:Let A's current age be 3xLet B's current age be 4x 2. Consider the Ages After 5 Years:A's age after 5 years: 3x + 5B's age after 5 years: 4x + 5 3. Form an Equation:The sum of their ages after 5 years is 60: (3x + 5) + (4x + 5) = 60 4. Solve for x:7x + 10 = 607x = 50x = 50/7 5. Find A's Current Age:A's current age is 3x, so: 3 * (50/7) = 150/7This is approximately 21.43 Answer:The closest answer choice is C. 21. While the exact age is slightly more than 21, the problem likely expects you to round to the nearest whole number.
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