The average age of 3 people A, B, and C, five years ago, was 20 years. The average age of B and C three years ago was 24.5 years. Find A’s present age. (in years)
Question
The average age of 3 people A, B, and C, five years ago, was 20 years. The average age of B and C three years ago was 24.5 years. Find A’s present age. (in years)
Solution
Sure, let's solve this step by step:
Step 1: The average age of A, B, and C five years ago was 20 years. This means the total age of A, B, and C five years ago was 20 * 3 = 60 years.
Step 2: If we add 5 years to each person's age to get their current age, the total age of A, B, and C now is 60 + 5*3 = 75 years.
Step 3: The average age of B and C three years ago was 24.5 years. This means the total age of B and C three years ago was 24.5 * 2 = 49 years.
Step 4: If we add 3 years to each person's age to get their current age, the total age of B and C now is 49 + 3*2 = 55 years.
Step 5: Now, we can find A's current age by subtracting the total age of B and C now from the total age of A, B, and C now. So, A's current age is 75 - 55 = 20 years.
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