The average age of 10 men increases by 5 years, when two new persons replace two of them whose ages are 40 and 44 years. Find the average age of those two new persons.
Question
The average age of 10 men increases by 5 years, when two new persons replace two of them whose ages are 40 and 44 years. Find the average age of those two new persons.
Solution
Sure, here is the step by step solution:
Step 1: The total increase in age when the average age of 10 men increases by 5 years is 10*5 = 50 years.
Step 2: The total age of the two men who left is 40 + 44 = 84 years.
Step 3: The total age of the two new men is the total increase in age plus the total age of the two men who left, which is 50 + 84 = 134 years.
Step 4: The average age of the two new men is the total age of the two new men divided by 2, which is 134/2 = 67 years.
So, the average age of the two new persons is 67 years.
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